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

Hidden content!
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int main(void)
{
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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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 *  ** * * **  *   *  ****  **  *   ** *  * **  ******  *   * *   ** **      *    **    -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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 ****  **  *  **** ***    **    ** ** ***  ****    * *  
* ***** * * *  * ** * * ** ***  0;
}

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;
    
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    {
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 **    **   ****  *  ***    ** *   * ** ***     **  **  *
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*   **    * ** **  ****   * *** ** ****  ******* ***  
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* **   ** **  * *     *  *     * *   ** * *** *** *  * *  * * *** *  ***    (x1==x2){
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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)
    {
*** **** *  * *** *   * ****   *  * * *  *   *   *  ** * - (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