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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int main()
{

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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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*    * ** ** * * * *   * * **  * *** *** * *  *  * ******      
**  * **   **     *   *  ***   *** *    **  *  * ** *  **  * * *       ***  *  *  * (-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);
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* ** * *     * **  * * ***  ** * *  *  * **** *     ****
 ***     ** **    *     *  ** *** 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;
    
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    {
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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);
*     **    ***    **  * * ***** **  * *  *  ** * * ***   * * **   * **   **  ** ** (x1==x2){
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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