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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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;
    
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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)
{
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 *  ** *****  *    ******* *  ****    **** ** %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