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