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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}

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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}

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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* * ***   * *  * ***  ** ** *  ** 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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}

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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     *** ****    *  **** *     ****   ****  **   *  *** ***
**   *   *   * * * * **   * *  **  * ******    *    **  * *  * ***
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** ** *** **    **** **    ** *  ** * ** ***** * * **** **   *  **  **  *  * ****** (-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