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

Hidden content!
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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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*   *     * **  *** * *  ***   * ** ***    * **  ** *   * ***  **  ** ** * ****   * ***   -x1;
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**** ** *  *******     **   ** ** ** * *  *  *** **
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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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*     * *     * ****** * **  *
    
*   * ** * **   ** *  *  ****** *      *   
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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)
    {
*  * *****  * ** * *  ** *      *  * *  * *  ***** ** *   *  - (4*a*c);
*       ** * *  **   * ** **** * **   * * **   ******  
*  ** *** **        *  * * *  * **      *  ** **     ***** *
** ***    * *******     * *  *  **  ** ** **     *  * * 
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**   **** *  *  *   ***     * * *   *** * **   * ***   **  ** * *** **  ***  * *    ** * (-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