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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}

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