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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}

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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}

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)
{
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*** * *  *  *  * * *** ****        *  ** *** %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){
**   ** * * * * ** * * ** *** **    *  ** ***   ****** **** * **     ** * *  * ****     **  ****   *** *   ** ** * *  * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
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*** *** * ***      * **  ** * ** * ** **  *      * *  * *     * *  ***    ** * *  *** {
*  * *  *   *   *  ******** * * * *  ****    * ** **      **     *  ** * ** *   ****  * * **  *  ****     *** 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