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

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{
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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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}

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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}

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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  *   **  * *   * ****    * *   ** * ** *** ** ***
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   *   ***  * **     * *  *** *   *    * **   * *    *     
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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);
* *   **   ** **** *  ** * *    *  *** ** ****  * *** 
****    *  ******  *** **  ***
    
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}

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;
    
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    {
***   *** ****    *******   ** * ** *    **  ****** *  - (4*a*c);
*     ********* ***  ** *  *     *  *     ***** * * * * 
**** *     **  **   ******* *    *     *  *    ***   * ***    * 
** *    *     * * * * ** * *  *  **   **    * 
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 ***** ***  *** ***  **     * * *** ******  **** ***    
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}

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);
**** *      *   ***  **  ** ** * ** **   *** *     *  ** **
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       * *   *  **  * * *****  *    ** * **** * ** 
* *    *   ** **  * ***     * * * ***   * * ** * ******* *    ***  **    * *   ****  **
    ******** **  ** **  ***     * *   * **** *** *  *  * **  ** ****   ** (-b+spD)/(2*a);
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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