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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{
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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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}

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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**    ***** ***     *  **** * ** ***  *** * ** * *** *  ***   **  * *   * * * *   *     ** *   *  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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}

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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** **  *     *   * * * *   ****  * 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