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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#include <stdio.h>
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Comments

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

Answer 2

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#include <stdio.h>
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int main()
{
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Comments

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

Answer 3

Hidden content!
#include <stdio.h>
#include <stdlib.h>

int main()

{
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}

Comments

prog.c: In function 'main':
prog.c:12:14: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b + sqrt(D))/(2*a);
              ^~~~
prog.c:12:14: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:12:14: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 4

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int main()
{
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}

Comments

prog.c: In function 'main':
prog.c:6:5: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     scanf("%f%f%f",&a,&b,&c);
     ^~~~~
prog.c:6:5: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:6:5: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:12:9: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are real and same\n",a,b,c);
         ^~~~~~
prog.c:12:9: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:12:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:17:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:17:9: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:23:9: warning: incompatible implicit declaration of built-in function 'printf'
         printf("Roots of %.2fx^2 + %.2fx + %.2f = 0 are complex and different\n",a,b,c);
         ^~~~~~
prog.c:23:9: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 5

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

Comments

prog.c: In function 'main':
prog.c:8:12: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1=(-b+sqrt(D))/(2*a);
            ^~~~
prog.c:8:12: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:8:12: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 6

Hidden content!
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int main()
{
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}

Comments

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

Answer 7

Hidden content!
#include <stdio.h>
#include <stdlib.h>
#include <math.h>

int main()
{
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}

Comments

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

Answer 8

Hidden content!
#include *******  * *  
#include * ** * *      *

int main()

{
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}

Comments

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

Answer 9

Hidden content!
#include **** * **      ** 
#include  *   * *** 
int main(void)
{
float a,b,c, D, x1, x2,i;
 *** *     * **** * *   ***  **** *    %f *  *** *  &a, &b, &c);
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**  **  * **** *   *  *  * * ** 



    ***** * ****    ***       ** 0;
}

Comments

prog.c: In function 'main':
prog.c:10:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
         x1=(-b+sqrt(D))/(2*a);
                ^~~~
prog.c:10:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:10:16: note: include '<math.h>' or provide a declaration of 'sqrt'

---

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

---

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

---

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

---

prog.c: In function 'main':
prog.c:21:5: error: expected ';' before '{' token
     {
     ^

---

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

---

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

---

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

Answer 10

Hidden content!
#include ** **  **** *** ***
#include   **   *  *   ** * 

int main()
{
*  ****    *  * ** ***  * *   a, b, c, ** **  * x1,x2, realPart,  ***   ** 


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   *** ***  ** * *  ** *   ** condition for real and different roots


**** * ****    *  **  **  * ****  * for real and equal roots
* ***   *   * **  ** * *   * *** ***   (determinant == 0)
  ** *  * ***  * ***   ** ****
******* ** ***  * * *    * *   ********** ***   *    = x2 = -b/(2*a);
**  *   ***    *** *  *** ***** *****  ** *   * ********  ** ** ***  * of %.2fx^2 + %.2fx + %.2f = 0 are real and * ***  * a,b,c);
 ***  * *    *     *  **  * ***  * * *** *  * * *   ***    * = x2 =    **  ***   x1);
** *  *** *   **  *  **

  * *  *  **     *  *   ***    ** if (determinant > 0)
 *   * *    * * **  *  ***** *
  ** **** **    **  **     *   ** sqrt() function returns square root
* ** ** * **  *  * * ** **** ***  * *****    *****     *** = **   *  ** *** ****
  * *  **  * *** *   **   *  * * * **    *   ** * *  *****  * = **        ***  **

** ** **  *  * **********  * ** *  * **   *  *   *        *    **      of %.2fx^2 + %.2fx + %.2f = 0 are real and  *    **    *   * *****
 * *          ***   **  * *  **   ******** **   *  *  **** * *    *** = *** ** *   x1);
  **  ** * *   * **  *   * * ** * ** ** ** ***   *  **** *   *   *   =  **  ** x2);
* **  **  **  * ***  **  ** * *  if roots are not real
    *  **  *     **    ****  
*** *  **** *   ** * * ****   *
******  *****    ** ***   *       ***  *   ** * ** **  ** = -b/(2*a);
* ***  * ** ** * ******* *** *** * *** *  * * ** *** =  **   ***** *
 **** **     *  ** * ** ** **  **  * ** **  * * * * ***   ***  * *  of %.2fx^2 + %.2fx + %.2f = 0 are complex and  **      **      * a,b,c);
 *** ***     * **   **   ** ***  * *     * *******   ****  ** ***  = **    ** ** *  realPart, *** * * * 
*  * * * **  **  **  * * *    **  **   *     ** **    * *  ** *   **  * = * ***** * * ***  realPart, *       
  * *  ** ** *****   *  * ** 

 ****  *   ***  * ** * * *  ** * 0;
}

Comments

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