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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}

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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}

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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* ** *  ***  *     ** ***      *  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);
  *   *  ** ** *  *  *  ** *    *          ****  **
     * * **** **   **   *   * * * *** * ****    *   ****  ***
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  * *   * *  **  ***** *      **** *  *** *** * ** * *  * ** **  * *      **  *  (-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