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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  ***  *   *  ****  *  * ***** = -b/(2*a);
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     *    * ** ****  *** * ** (D < 0)
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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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int main()
{

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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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  *** ********* ******     ** *  *** ** *  *     * * *    * **  ****   *** *  ***   **   *  
  ** ** * *****   * * * **  * * *** * ** **    *    *** * *
 * * * * ***  **   *** *   *  ***        * ** * ** **  if(D<0)
 **** **   *   ** *  *****  * ** ******   * ** *  ***  **    
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  ** *    ** **  *    *    *  * * *  *  ***** ** *      **   ***   ** *    ***  -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: 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;
    
 **     *****   * **     ****** * ** *** *  %lf %lf", &a, &b ,&c)==3)
    {
  * * * ** ** * ** *****     * *       **    *  *******     * * - (4*a*c);
   *      * *  *  ** *****  **  * *   * ***   *** ** *  *** *
*  *  * ***  ** ** * *  * * *** **    ****   **  *   *   **
   ****  * ** ** * * *   * *      ** ***   * ****     
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* ****  * * *  *  *  * ** * **** * ** **  * ** * * **    *  ** * * * ** ** **   * ** (-b-spD)/(2*a);
* * ***  *   **  * ***    * * * * *   **   *** * *     * ** ** ** *  *   **  **  (x1==x2){
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 * * *    * **   **  * ** ** **      *  * *     **  *****  *   **** * *  **  *     ***  
** ** * *** *   ****  *  *  ***   ***    ****  ****    * **
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**   ****  * * ** *****  * ******   ***   *  ** * *****    
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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);
 ******* ****** **** * ** **  *      ***  *     ***
 * ** * ** * **    ****  * **   ** **   * * *      *   * *** 
     ** *      *  ** *   ** ** *  *  *********  * * *   *
  *** *  ***      *** ****** ** **  *  * ** ** * *  * *  * *****   * *  * *  * *  
 *  *** **   * *    * *******  **  *    ***  *  * **   * * *  * ** ** ** * ** *    (-b+spD)/(2*a);
  *   **      ** ** **       * *  *   *       *  *  *  **  *    ** * ****    ***     (-b-spD)/(2*a);
 **       **** *** ***** ***** * * * **  * ** *  *  **  * ** *** ** ****    ** (x1==x2){
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*  *      ***    *  * * * * *   ****         * ****   ** **   *** ******  *  
***  *  ***  ** *   **   **** *  *  ** ******** ***   ** * * **  **** *  ** * * ** *  {
*   **** *** ** * *  ***   * * ** *   *   * ** *      **   * *  *        **  *** *** *  ** ********   **   *  *  ****  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
 * *  * *  **  *    * ***** ******* ***   *   ** **  **** * **   ** ** 
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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