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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{

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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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** * ****   *    ** ****  *     ******** *** ** *  ***     * * * ** * *         * ** *      **  * **  * 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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* *  * ** *****     ** ***   *** * *    *** ******  * *       * ********* ******  **** * ** *
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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