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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int main()
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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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    {
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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)
    {
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*****  ** **      * *   *   ** *     *** **** * **     **   
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 * * *    **  * ** ****   *  *  ** * * *  * * ***   ****  
 **** ** * *** * * ****** *** **    **   **    ** ***  * **   *   ** *** *    ** * **  * 
   **** ** ****  ***   *   ****    ***** *****  ****    *** *  *  *  *      (-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