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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Comments

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

Answer 2

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{
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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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}

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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}

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