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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}

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)
{
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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)
    {
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*      *  *** *  * * *    **** *    * *******  **
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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