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

Hidden content!
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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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{

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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)
{
*  ***    *    ***       * *   a, b, c, D, spD, x1, x2;
    
* *  * ***** * ** **       * *** *******     * %lf %lf", &a, &b ,&c)==3)
    {
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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