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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int main(void)
{
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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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}

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)
{
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    {
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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