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

Hidden content!
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{
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*** *    *  *  * ** ** *    * = -b/(2*a);
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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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{

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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;
    
 *     * ** *   ****** *  ** * **  *    *  *  %lf %lf", &a, &b ,&c)==3)
    {
***  *    ******** *    **  *   **  * *    **    *  *     **** - (4*a*c);
****    ** *  * ** *  **** ****  **  ****  * * * * 
***** *   ** *  *   * *** *  *   ** ****    **  *  *  * * * ** 
* *   *  * ***   **  ****    *********** * **  **   *  ** 
* *  * *   ****** ** *  ********* *  **    * *  * *  **  **  **   * **      ** *    
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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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  ******** **  *  **  ** * *    ****   * ** *  *  * ** *
**  ***  *   **  ***** ****  ****** *** *  **  ****   * *   *** **  ** * *     * ** * (-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