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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}

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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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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* *** * *  *  *   ** * ***  *   * 0;

}

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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}

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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*  * * * * *  ***       **   ***   ***  *  **  **  %lf %lf", &a, &b ,&c)==3)
    {
**  **  *  ** *  **   * ** **  ** *  ** **   **    *  ** - (4*a*c);
 *  * ** ** * *** *       *  ***  ** *       ** *  ** * *
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**       ** * ** ** ** **     * * *  *  * *  **  *  *
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* * ** ***  *  ***  ** *      *** * *  ** *      *****  *  * **** **** * **    ** (-b+spD)/(2*a);
** **   * ** *** **  *** *     **   **  * ***     ** * * *   ******** ** *  *  * (-b-spD)/(2*a);
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** *  * *  * * * *** *    *****  *  **  *    *   * *
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 *** ** **   * *  * * * *** *   ** ** **** * *  **** **  *    
 * ***   **** *    ***   **** **** * *** **    * * *   * *  *** * *   * *** ****  * ** (-b)/(2*a);
   *** ** * *  * **    ** *     * **  ***   ** ** * * **   * **    * **  * *** -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);
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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