10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

Hidden content!
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int main()
{
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}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

Hidden content!
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int main(void)
{
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*  *****  * **    *    ** **  = (-b - sqrt(D))/(2*a);
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**   *** ****   **    ***  **  = sqrt(-D)/(2*a);
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}

Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

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int main()
{

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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

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#   *  **   * * *  *
int main()
{

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* *** *  *    *  * *       * *  *  *  *   *   **** *   * * * **  = -%.2f+%.2fi\n", realPart,imaginaryPart);
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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 * ** *** **     * ****  ** ** ** ** ****  *    ***  * **       *   ***    * **  
 **********  * * ** ***    ****** ** ** ***** *** * *  **
  **** **** *   ****  *       ** *     * * * **  ** * * ** * if(D<0)
    *** *  *** ** **  *   *   **  * ***   ***  ** * **  **   *    
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   * * **     *    * * *  *  ** * *    ***  *** *  *    *   *  * * ** * ** * * *  *** **   -x1;
*      ** *  *   *   *******     * *    **** ** ** ** **  ***  * ***    **   *    *  **    **  *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
*  ** ** *  ***   * * *    **   *******   ** ***          
     *** **   * **    ** *
    
 ** *** *** ** *****   *   ** **  * *  *    ***
**      * *   *  * * **   ** * 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
 *     **          *  *  ** ***   *   a, b, c, D, spD, x1, x2;
    
 *  *    *  * **** *      *  * *** **** * %lf %lf", &a, &b ,&c)==3)
    {
* *   *  ***    * *  **** *      ** ** ***    ****        *  - (4*a*c);
 *  ****        **  **  *   * ** ** ** * *  *
 ****** * *   ** * **   ** * ** * * * *   **   *    *** *   *
*       * **** ** *  ** *  *******  *   *   *** * **  
***   * *    ***  * *  **** ****  **  *   * **   **  **   ***  * * *  ** *   *  ***  * *   
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 *     **      ** ***  *****      * *  * ** ** ** * ***      * * ***    *** **    (-b-spD)/(2*a);
 *     *****     ** * ***** *** **  ****   *       *  ***       * *  * *** ****** (x1==x2){
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 ** ****** **   *  * ***** **    **  * *** ** *  *** ***** * *** * *   * * *  *** ***
 *  ***    * ** ** * * **** ****     * *  ** *****  
******* *    ***  ***   ****      *  * *** * * ** **  * if(D<0)
** *   * ****  * *   * ** * **  *  *        * *  *      
* * *  ***     *      **** *  *****   **  ***  * ****  * *  * ***   * **   **   ***  (-b)/(2*a);
 ***   * **   * ** * * * ** * * ** ***   *****   *  *** * * *  *  *  * *  ** * * -x1;
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*    *** ** ***   *** *  *  *  *  *** *  **** * ** **
* *  ** * *        *  *** 
    
* *  *   *   *  *  ****   *    * * * * *  *      *  *** 
  **** ***   ****   * * * ** * 0;
}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
** **  * **   *** *  ** * *      a, b, c, D, spD, x1, x2;
    
    * *  ** * * * ****** * **  **** *   **  %lf %lf", &a, &b ,&c)==3)
    {
 *  *  * * *  ***  *** ***   ***     *  *  *  *  *****  * * - (4*a*c);
*  *    ***  **  *        * *****     **** ***   *
 ***    *  *   *  **** *  ****  *  ** * *****  **   *  *** ****
**  *   * *  *   *** *****    ** * *****   *  *  
 ***  *** *  * * *** *  ** * ** *  * **  ***     **  ** *** ** *    * ***      ** ********* *****  
****   * * ** ***     * *  **   * *** *     * *  * * *  * ******  ***   *  *  (-b+spD)/(2*a);
 * * * **   **  *  ***  *** *** *** ******  * * **  *  * **** *****   * * **  **  *    ** * *  (-b-spD)/(2*a);
* * *  ***  * *** *  ** *      * ** *** * **   *    *****   *** ***** ***    (x1==x2){
*    ***  ***** **  ***  ******  ** * *** ********** *  *  *** *    * ** * **  * ** * * ***   ***  ***         * ** * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
  * * *****  *****   ******     * ***   *   * **** *   ** * **   ***   *      * * **  *
  ****** * *  * ** *    * **  *       *  * ****  ** *  ** **** ****  *  *** ***** *  {
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   ** * ****  ******  **  * *  *  *  **    ***  * **  *  * *** **  **         
****  *  * *  ** *  *** *** **  **** ***      * * * 
 *  * ***   *   ********* **  **   *****  *  *  * *   ***   * if(D==0)
***   * * **     *  *** * ** *   * ******   *** *    
 * ** **    *** * * * ***    **   * ** *       *** ** *    *****   **    * *  ***** (-b)/(2*a);
   ** *  * *******      * **  *  *  **   *    *** ** *    ****  *   ****** *** * ** * *  
*    *** *  ** **  * * *   **   **  **  * **    *** * *  *   *  ***    ***   **    *****
* * **** * * ***  *  ***  ***  * ***  *****   ** * * ***   * ** *  **  * * * * *  * *    *** * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
* **** *   *****  *  ** * * ** **** **  * *     * * * * * **   *  *  * *    *  * *
* * ** **   ** * * ***    *  * *  ***   ****   ****    **  *** * **   * *  * 
  **  * *** ****  * * ***   *   ** *** *  *** *     ** *  * *  * **  ***  * *   *  *  ** ***
   **  ***      *****  **  ***     **     *   **** *   *  * *   * **  *   *    ***
     * *    **   * **** **  **       * *  **  ****   *  **** **  ***  *  *   **** *** ***** ** * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*    ****    **  *    **   ****   ***  *  **    * ** **  * *  * *    ***
*   *  **** * * *   *** *     * ***  **  ** ***
 *    *  *** * ** * *  *  **   *    *** ***** * *  **   * *** *   if(D<0)
** **   ***  **  **  **    *    ** ***** * ***  ** **  *     
****    **  *  **   *        * ** *    ***  **   *   **  *  **    * * * ****    *  *** *** (-b)/(2*a);
 *  *   * **  ***    * *   ***  *     ***  *   * * **   *  * * ** * *  * ** ** * -x1;
**  *     *   ** *    **  *    *   ****  ********     *  **  *    * ** ****** * *** *  *    *   of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
*  ** ****  ** ***  *   **** ****   * ***  **   ** * 
**   ** ***   * ** * * * * *
    
   * ***  ** ** ****  * ** *    ** ***   **    *
* **  *** * **** ** **** * ** * 0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
 ** ** ****  *** * 
   * **   *  *  **    ** 
***     ***   * * *  
int ******
* ** *   **  * *  *    *   * *  * *** a, b, c, D, spD, x1, x2;
   *   **   *    * ** * 
  ** ****   **** ****   **** ** ***  *   %lf **   * ** * *     &b ** *   
          {
* ** ****  **    * * **  * ****   *** * **   **** * * - (4*a*c);
*** * ***** *** **  * *   *  * **  ** *  ** *  *     
  ** *         ** * ****
* * *        {
* *   ***   **  **     * ** * ** * *** **  *  ***    *  **    ** *  *
 * *** *** *** * * * ***** ** ** *   * *  **     ** *** *   *** *   * *   x1=  *  *  
 ** * ** *  *** ****  *   ** * ***  * * *   *  ** ** **   *   x2= *** ****  *
* ******     ***      * * ** * ** * ***   *   *****   *    *   if (x1==x2){
*   * ****    **  ******   * * *  *    ****    * *** ***** ***            ** ** **  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =   * ** **  *   *    
 * **  ** ** *   *****   *** ***   * * **    ***** * *  *         * ****  **  ***  *
****  * * ** * * ** **  * *  **  * *   ** *  * ** ** * **   **    else {
   ** ****  *  *   * *  ***  **  * *******    ***  ***** * * *   *********   *  * **    **   ****   ** ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and  *   **  = %.2lf\nx2 =    **** *        ** **
*  **  ** **  ***   *  *    * * * * ****** ** ** **  ** *** * ***       ***  * * }
  *  * * ***    *        * ** ****  ***  **** * *   ****   *
 *  **    ***  ** * *    ***  ** ***  ** *  ** *  * if(D==0)
  ****** * **     ***   {
* ** ****  * ** *  *   * * *  ***** * * * ** **  * *****   * *** * * *       *** *    *   *****
 *** *** * * * **** * ******  *  **   ** *   * * **  * *  *     * * **   ** *         ** *
** ** *       ****        {
 *  *     * ****  * *  ********* * *   **** ** *   *  *   *** * ****  * *** * ** **    * ******  ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =     *   * *  ** *   **
*****    *    **   ** ** **  ** ** ** *    ** ***  *  ** *  *  * * **    *   * 
 *   * * *** ** **  * **  **   ** ** * **        *  *****   ***** *** * **  **  *   
**** **   **  *  ** ***     ***  * ** ***   ** ***    ****  *** *      ** *  ** ** **
 * *  * ***           {
*    ** * **    *    * **  * ******  ** *  ***    * * ****  * ******  *** **   **  **** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = ** *   *   **  
  ****   ** *   * * * ***** *   * ** **  *  ******** * **** * *  * ** **    *** * 
 ** * ***   * *   * * **    *     *** *  ****** * ***   **
 *    * * *   ***   ****  **** * * * * ***********  * *  * ** * *  
*             ***      
            x1=     * *** 
   *           **  *      *   *  * *   x2= -x1;
 *  *** **** ** **   ** **  *  ***** ** **  * *   *     *  *  ***    ** ****************** of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and  ** *    = *   **** **  =  **** *  **** * ** *  *  
 * ***  *  ***   *   *** * ** ********   **  **     *
***  * *    *   * *   * ****
***     * * ****** ** * *   ***
    ** **    ** ***        **  *  ** ****** *****  * ** 
** *  ** * *** ** ***      **   0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
   * *  * *    ***  
*  * *  *  ****
int main(){
    **     ** *    ** ***  ***  * a,b,c;
****   ***   **   * *   *   D;
 *  * **   * * * *  * *   ****   *   * %lf ** *     **  *           ***     * 
**   **    ** *  ***   ** ** * *    - 4*a*c ;

 *   * *   **** *   ****     **  *   ** * * of %.2fx^2 + %.2fx + %.2f = 0  * * *** 

**          ****** **   ***    *****
*  *     *  * * *** ***   **     **   * ***    *   ******** **  *** complex and *******      * 
****  **** * *  ******   * **    ** * ****  *   **    **  * * *   = ** **  *  *   * (-b) / (2*a) ), sqrt(-D) / (2*a) );
  ***  *** * * *****   * ***** *** *  ** ** *  ** * *    ** **   *** =   *** ***   *** (-b) / (2*a) ), sqrt(-D) / (2*a) );
  * * *      * *  *  * 
 ** ** *    * ***** * *  ****  ** if(D==0){
 *     ** ***** * * * *** * * *    **  ** *** *** ** *   * *** * real and same\n");
**    **  *    **  ***   ***** * ***   *   **     *** *** * * *  = x2 = %.2f",( (-b) / (2*a) ) );
  **       *   *  * ***  *
  ***  **   *         *** *    *    ** ** 
   *** ******      ***  **  *  *     ** ***** *****  **   *     ** real and  ***   ** * *  *
*  *** *  *   **  *** * * * * **** * ***  *** **        **  = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
  ***       ****  **  ***  * ** * ***  *** **    *     ** * *   * *     * = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
  *    * **  * *  *****    

*** * **    **  * *      **** * 0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include   ***  * *  *    
#include <math.h>
int main()
{
  ***    *   *  *      **** a,b,c,x,y,d;
    ** * * *  * * * ** * * *  *  *    *  * %f *    *     * *** ** *  * *     * * 
* *   *    * * *  *  * ** **********
 **  ***  ** *  *  * * * ** **   * * 
* ****  **   ** **  **  ***     *** * **  * 
 ******    * **   ***   ** ** (d>0){
 * *    *** ** **  **  * *** ** **  ******    of %.2fx^2 + %.2fx + %.2f = 0 are real and ** *    * * *** *   **
***** * *  ** ** * **** * * **  *    = %.2f\nx2 = %.2f",x,y);
  *** ** * **  *   **  **   
   *  **   ** ** * *   ** *  if (d==0){
 *   *** *    * * ***     *       * * * of %.2fx^2 + %.2fx + %.2f = 0 are real and  ** *  **  * * *
 ***    ****  *  ** *   *    ***  **** * = x2 = %.2f",x);
 *   **     * * **  *     **
    * *** **    *  * * *  ** *
***    *******      * * *  ****** 
*** *     *  * ***      *  * *       **  of %.2fx^2 + %.2fx + %.2f = 0 are complex and *  *  ** * ****   ** 
** *** *     *  * *******   **  *  *** 
     **  **    **    **** * ***   **   ***  * = * * **  * **    * 
 *** *  **** **    * *     * **    ** ***  =    ** * *   **  
****  *** *  * *   **  

*  **   **** *** ** * **  0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output