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

Hidden content!
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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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int main(void)
{
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  * *** ******   ***   ** * (D < 0)
*   *** * * *     ****  *  
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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

Hidden content!
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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 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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**   ****   **  ** **   *  * **  *   *****  * **  * *****    
***  ***  ** *     * * *****    * *   * *  * * *         *** **     * * ** ***    ***  *** (-b)/(2*a);
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    **  * **  *** **** *  ** ***** * *    **    *  * **  * *   **   **   **      ** **     *    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: 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)
    {
   *    *  *  *    ** **** **** *   *     *   **    *   **** - (4*a*c);
   * **  *         *  *** *  *  ****  ** **  * *  **  
* * * *  **    * *     *****    * *  *   *    *  *  *  ** *  *
*** *   ** * * ***  *   *  ***    * *    * ******  **  *
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**       * * *** ** ** *** *    *   * ** *** **  *  * *** *** **** **** ******* **   ***** * (-b+spD)/(2*a);
 *  ***     *   **   * **     *  *  *    * ** ** *   *  ***         * * *** * ** *      (-b-spD)/(2*a);
* * ** * ** ** * * ** *   *   *****     * **   ** *** * *       ** *  *** * * * *** *****     (x1==x2){
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** *  * *** *      ******     ***   **    **  **  **
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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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    **** *****   **** *** ** **   *****  **  * **     ***  ** *    **    * *  {
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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