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

Hidden content!
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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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*     *    **  *   * **    * *    ****  ** ** * **   * * * *  **** *    * *** -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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* ****      **   *  * * ****      *  **** ** * ***  * ************** * * * * *  *   -x1;
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  ***   ** **  *   ****  **   * * * * * * * *** **   
 ***** ** *** * **** *** **  0;
}

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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 *        * *  ****   ** **  * *     ** **  ** ***   *    * *  * * **  * *** **** (-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