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

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{
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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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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)
{
 **  * *     ** **  * *   a, b, c, D, spD, x1, x2;
    
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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){
*    ** * **     *** *    *   * **** ****** * ***  **  ** ****** **** **  ******    *   * ********   ****** ****** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*      **  ***  *  * *  ****    * **    * ***       ****         *** ***  *  *  * **   
**** ** **  *  *  ** ** ** * *  **  *   **** **        * ** *  **     **** *   {
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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