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

Hidden content!
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{
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******  **** ****    *   * * ** = -b/(2*a);
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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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# ***   ** * *  * *   
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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*     ****  *  **    *    *** *** ****  * *  **  ****  *** *  ** *   * *  *  (-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);
  **  ***  * * * *         ** * * *    *  * *
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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)
    {
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 **********   * ** *  * *** *  * * **   ******** ** * * ** 
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* ** *   *  ***** * * * ***     ***  **  *** ***   ** ***     * * **** *  *  * *  * *  * (-b-spD)/(2*a);
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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