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

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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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int main(void)
{
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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);
** ** * **   ***          * ******  *    * **  * * ** * **     * **
 *  **     *   ** *   * **
    
* *   * **** *  *   ** ***   * ****   ***  ** ** 
   ***    ****  *  * **    * 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)
    {
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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);
 *****  ** *   **** ** * *** ** * ** **  *  
**  **     * *  *** **   * **   *** *    ** *    *  ** ***** 
 ** * * *** ***  ** * *    *  **   ***  ******** *** ******
*** *     *   * **   * *** *  * ***  *  **  ***   * *** *   ** ***    *  **   ***     * *
 ** *   **** * *  *  *      *     * *  * * *  ***    * * * *  * ** * **  **  * (-b+spD)/(2*a);
*    *   * * * *  *   **  *  * ** * *   *** **   *  * **** ** *  *  ** (-b-spD)/(2*a);
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*   **     * ** ***       ******  ** *  * ***  * ****** *   * *  **     *        *  *  {
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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