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

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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
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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
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56 Answers

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#include <stdio.h>
#include <stdlib.h>

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prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'
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Hidden content!
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prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'
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prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
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#include <stdio.h>
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prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'
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Case 0: Correct output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
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Case 1: Correct output
Case 2: Wrong output
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Case 1: Correct output
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prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^
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Hidden content!
#include   ******   *    * 
#include     *  ** *   

int main()
{
* ** * * *   ***** * ****  **  a, b, c, **  *  x1,x2, realPart,  ***  


  **   * *** ******    **  *  ** * *  **   %lf *  ** *  *****     *  &b, &c);


** * **  * *    *  ***  **  **     = b*b-4*a*c;

*    *** *    **     * ** *** condition for real and different roots


*   *** * * **  ***   *  ** * *   * ** for real and equal roots
            ** * *  * **  * * **   (determinant == 0)
* *   ***** ** *     ** * * 
     ** **  ** ** ** ***  ***** **   *** * ** ***    ***  = x2 = -b/(2*a);
  ******    *  ** **  * *  *    * ** *  **  ** * ** ***  *  * *   * ** of %.2fx^2 + %.2fx + %.2f = 0 are real and ***  ****  a,b,c);
*******    **  *  * *   *  **  *** ** **** ** ********* * *  ***  ***  **   = x2 = *  *   * **  x1);
* ** * * ***  **  * *    * *

**** *       *** ***      * *   if (determinant > 0)
** **  *****   ** *  *   ** *** *
** ** * ** *****  *  ***   sqrt() function returns square root
****  * ***** ***** * **     * *    **    * ** *  * **   = ** **  *  *    *
*  ******  *** ** *******    ***** ***  *          * ** = *** *** *  * ** * 

* ** **    *** * * ** **  ***  ** **   *****   * ** **    ****   *   * of %.2fx^2 + %.2fx + %.2f = 0 are real and **  **** ** * **  ** 
 **  ***  ****  * *** * * ** ****    ** *      ***       ** *    =   *  ****   x1);
 *  *  ** * ****** ** *  * * * * * *  *    *****  ****   *    ***   ****  =  *  ** * x2);
     *  *  **    * **** **    * * if roots are not real
  ** * ******    ****  *   
* *    *** * ***  *     * * ***
* * **  * ****  **   * ***  *  ** *  ** **    * * * = -b/(2*a);
 *   ****  **** *  * *   ***    *** * **    *  * ** *  **  *  = **  **** * *   *
  *** * * *   * *  * *     **  *    *      * ** * * *****  * ** ****  of %.2fx^2 + %.2fx + %.2f = 0 are complex and * * ****    * * a,b,c);
        *     *   * ** * *    ** *** ** ***  * *** **   * **   ** ***  * *  = *******  * * * realPart,    **** ** 
**     **** * *   *****  **  ****  **** *  * **  *   * **     * =      *  ** * realPart,   **  ** 
 ** **   *  *  * ***   ** *   * 

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