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

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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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}

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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}

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;
    
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    {
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}

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);
* *     **** ***  *  ** *  *    *    ** **   ** 
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**   *  ***     ********    ****  **    ****  ***   *   **
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***** *  *    ***  * ** *** * **     *      * *   *  * *   * *    *** * ****   *** (-b+spD)/(2*a);
***    **  *   * **    *** ** * *   ** * ** *  ***  * ****  ***    **** **    **** *   *   *  (-b-spD)/(2*a);
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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