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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}

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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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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** * * *   *** ***  ** *  *  * * * *  **   *  **     **
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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;
    
 *    ***  ** ******  **      ***     *  %lf %lf", &a, &b ,&c)==3)
    {
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****   * ** * **   * * **  ** *******  * **     **** 
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*  ** *  ***      *** *****     *   *  *** * ** * ** ** *   ** * * *     * * * ** ***  -x1;
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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);
*  ****   *** *   **** * *   * ***   * *     ***  ***   ** * *** ** **   *  ***    ** (x1==x2){
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**  ** ** ** ** *  **  *** **** *** **  *  *   ** * **** *    *  ***** ******   **    {
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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