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!
*** *   *  **     ** * 
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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   *  ******   * ** * ** 
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

Hidden content!
*  ***   * * ** *** *  
#  ***  ***     *** 
int main()
{

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*  *****  *       * *  *   ** **
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* **  ** *  * ******* **  ** *  0;

}

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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*      *  * * *   * ** ***  ***** * * **  ****   * *** **  
 *   * *  *** ** * *** ****** ** *  *   ** ** *** * *   **    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: 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);
 *** ****   *  **   ****** *  *     ** * * ******** * 
 *    *   ** *  *   * ** ***   * ******* * **  * *  *   **  ***  * *   
*****   * * * * * ** * *  * ** *    ******* *  *   *
***  **** ***** *  ***  * **   **  *   *** *   ** **** ** * ****     ** ***     * *** *   * 
*** ****  *** *** *  ** *   **   * *     ****** ***  **    ******  ****  **** * (-b+spD)/(2*a);
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**  * *  *  **  *   *   ** **** ** *  **    * **  *   ** **    
* **  ****   * *** *** *******  *   ******    * *  ** *  **      **   *   ** * ***  *  * *** (-b)/(2*a);
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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);
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** *   **   **   ** *    *    * * ** *  ***   *** * *   **** **    * *  *  **** **   ***  * * ****    **  *   * ** *     **  *  ** of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
 *          *  * * ** * * * * *   *  ****  * * **  *   *  * **   *  ***** **   * *
      ***  * * **** *   **         *  **    ** *     * *  ** 
 * **  *  **   *   **   *  *** * * ****  * * *    * ** *      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