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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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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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

Hidden content!
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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 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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 *  * **  *  ** *   *  ***************** * ***   ***  
 ** ** * *    **       *** *  **** * *** * ** * *  *** *   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: 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);
    *** ***** ** ****** ****   * * ***** ***    *********
   **** ** *    * *   * * *  * *** **** ** ****  ** **  *  *
*** *** *** *   ** * * ** * * *   *       *  * * *  ** * **
*  * *  *   *   * ***  *****      *** ** **  *   * ** * **** ** *** *   *  *    *   ***    *     *
 *** **** * ***    *  * ** **  *  ** ***    *  * *** *  *** *  ** *****  * ** (-b+spD)/(2*a);
** ** *  ** *****  **  *     *  *    **  * ****  ***** ** *  *** * ***  *** *     (-b-spD)/(2*a);
* ***********      ****   *  **  *** ***** **  **     * * *           * * *  * **   ** (x1==x2){
*  * ****  *** * *   *** *   *   ** *  *** * *** * *  * * ** *     ****   ** * **** ** **** *** *    *** *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,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);
  *  *    * * **** * * * * *** ***     ***  *  * * * **  **  *  * ** * ** (x1==x2){
** **   ***    *   ****  *   *  * ** *    * ***    **  * * **  ** * *** *** **  *  *  ** *** **** **** **   *  *    **    * *  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 different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
** **    *  ***   * *  *      *** * ***  *  * ** ***  * *   **** ****  **
*******         ****  *     ** **   * ***  **  ** **** * * 
** ** ** ***  ***   *  *  * * *  * *   *  *   **    * 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