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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Comments

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

Answer 2

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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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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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}

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)
{
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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)
{
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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