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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int main(void)
{
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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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  *   * * *   *** *****  *  * *  *   ** **    *    *     
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***  * *    *  *  *  ***    **    * * * ** * ** *       ** **  * * **  *   *  ******** -x1;
 * * **  * *     * *    *  * **        **     ***   * **    ***   ** * *    ** *  ***  **   * *** of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
***  **  ***  **  * *  *   * *  *  *  *   **** **  * 
 **  ** *  *   ******** **
    
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*       * ******  ***   *  * 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)
{
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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);
 *     * *  ** *        * ** * *  ** * ****   **  * *  *** * *
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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