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

int main(void)
{
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}
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Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
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}
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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'
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Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
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 * *  * ** * * ** **  *  *    ** * ** *  ****** * * *    * * ** * * *   *** ***** *    (-b-spD)/(2*a);
   * **  * **** *** *  * **** *    * ******   *** * ***  * *  ***      **       ** (x1==x2){
  ** ***  *  ***  *  *    ****   **   * ** *********  ***     **  **** ******  * *** ******    *  *  *    ** * **** ** * *** *   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 different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
  *   * *  ** *  ** **  *  *  *     *  * ********      * *  ** ****** * ***  ** * ***  
 * **** ****   ***    ***** * ** ** * ** ** *    * *    *    **  
     ** **    ** ***   * * *  ****   *  * **  ** * *    * **   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;
}
answered by (-249 points)
0 0
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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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;
}
answered by (-249 points)
0 0
/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output
commented by (4.3k points)
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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;
}
answered by (-116 points)
0 0
/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
commented by (4.3k points)
0 0
/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
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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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;
}
answered by (54 points)
1 0
/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
commented by (4.3k points)
0 0
/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
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output
commented by (4.3k points)
0 0
-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output
commented by (4.3k points)
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