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

Hidden content!
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{

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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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*  ** ****  * ** **  **  ***  ******* *** *** *** *    
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    **  *  * ** *   ***  *     * *** *   **  **   ** ** *** *** * * **     ***  ** ** * *  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: 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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***** * * **** ** * ** ****   **** *    **   **** *** *  *** ** *  *** * **** **   ******* (-b+spD)/(2*a);
*  ** **  * ***** *  * *    *  *   **** **  *  *      ** **** *   *  **  *   *** *    (-b-spD)/(2*a);
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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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* *     *   ****** *   * ** *  *  *** * *  *** ** **  *  *** **    *** ** **** *  ** {
 *  ***** * ** *  ** * * ***** * * ** **    **  * *** ** *  * *  *   * *     ***  *    * **** ****  ***  ***** ** * * *** * *  ** 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;
}

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