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

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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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}

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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}

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)
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}

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