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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{
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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

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

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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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* **   * *  *  ***  ***   *    * *  ***     * * ***  ** * *  ****    ** ** -x1;
   *  *****   *  *   * *  * ****   ***  **** **    * * *  * * *   ******    * **    ** **    *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
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* *****   *   * * ****
    
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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)
    {
*  **  * *  *** *  *  *  * * ***** **   **** * ** *  *** ** - (4*a*c);
* *** ** **  *  * **  *** **  *  *   *     ** **  *
* *         * ** * *** *  *****  *  * * * *  * * * *******  *   *
****  * * ****** * *****  *******     * *  *** **     *
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*** *  *** *   * **  **   *** **     ** ****    **   * *** *  *  ****   **     *     ** (x1==x2){
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*       *  ***  ***  **  * * * * **** ***  * *   * * **** **   ****** **********     (-b)/(2*a);
 * **   *  ****   * **   ** * **  **  **** * *   ***** **  * **   * ** ** ***  -x1;
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* ** *  * *     ** *  * **  *  0;
}

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)
    {
****** * *  ** * ** **     **   * ****  * * * ***   * * * - (4*a*c);
 ** **** **  **  ** *  ***   ****  * *    *    ** * 
 ****  * ***  * * *  *  * * ****  ****** * * *   *** *** ** 
**** **      * ** * ** * **       *    * * * *  *** * 
 *   * ****  * * ****  **  *  ****   *** **** *   **** ****   * *  *  **   **  *      * **
***    **** *  * ** * *   * * ** **   ***  **** **  ** * * **     *    ****     **  *** (-b+spD)/(2*a);
  *  ******** *   ** *  * * ****   * *  * ** * *         * **  * * **   ****    (-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