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

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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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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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* **      *   *  *** ******* * * * * ** * ****   * ****     * ** ********  *  ** -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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** *  *  ** * ** ***  *  *** *
    
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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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 ** *   * *  ** * ***  * * *  ** **  * *****     ** *   *
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  *   * * * ** ** *  *  ****    *  *  * * * **   *
**** *   *      **  ** ** * * *    * *  ** **  * ***   * *  * * * * **   *** (-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