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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}

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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}

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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*   * *    ****** *  *** * * * * *** *    *        ***** * **  ***   **  *  *  *   *  (-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