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

Hidden content!
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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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*** * *** ***  ******
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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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  ** * *     * ***  * *  *   *  *  ** * * **    ** *** **  *   *** **     *** * *  **  -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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}

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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    {
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*** *  ** *** *  *******  *     ***   * ***    *    
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*** * ** ***** * ****  *   **  
    
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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