need help with an assignment pasted below. Specifically, what I first need help

Question

need help with an assignment pasted below. Specifically, what I first need help with is creating functions in C (I will write to latex when finished).

These functions will generate random roots according to specific parameters, and then write a quadratic equation resulting in those roots. My program is so far formatted like this:

void realRoots()
{

}

void complexRoots()
{

}

void repeatingRoots()

{

}

The best method to me seemed to be to begin by randomly generating the roots, and then work backwards, which i began with:

void realQuadratic()
{
int x1 = 0;
int a, b, c

while(x1==0)
{
   x1 = rand()%11 -5; //This generates an X1 root between -5 and 5 as long as its not 0, which is forbidded by the problem
}

while(x2!=x1)
{
   x2 = rand()%11-5

}

This is where I pull a blank. Im not sure how to work backgrounds in the program. I need to generate a quadratic equation and be able to output it using those roots. I can use any 2 roots on paper to work backgrounds into a quadartic equation (by setting both X terms = to 0 and foiling them) but doing this on a program seems a bit confusing because of the variable nature of B and C. I also am not sure how to approach the imaginary roots function. Help with either or both of these would be stupendous, with as much detail explained as possible for the sake of learning. Thanks so much!

PS - Int main() will do nothing more than seed random according to(time(NULL)) and call the functions which perform all duties (including generating numbers and printing in each function)
}

A math teacher needs to quiz students about solving the quadratic formula. She has a very large class and is worried about cheating, so she wants to give each student a randomized quiz to solve. The quiz will contain 3 quadratic problems: one with repeated roots, one with real roots, and one with complex roots. In each case, the roots will have the following restrictions: Repeated roots: In the range -5 to 5, but cannot be 0. Real roots: Both in the range -5 to 5; the first root cannot be 0, the second cannot be the same as the first Complex roots: Real and imaginary parts in the range: -5 to 5; the real part cannot be0. Create a program that generates two Latex files: (a) The quiz questions (for the student) (b) The answer key (for the teacher)

Explanation / Answer

Sicen quadratic equations will be having 3 different scenarios,so I would suggest to use either If_else,switch case instead of using 3 individual method.I have used here simple If_else statement.(note: I have consider upto 4 decimal places)

#include<stdio.h>

#include<math.h>

int main(){

Float a,b,c,d,R1,R2,real,imaginary;

Printf("enter coefficient of quadratic equations");

Scanf("%f%f%f,&a,&b,&c);

If(a==0)

{

Printf("please enter number other than 0 for coefficient of a");

Break;

}

Else{

d= b*b-(4*a*c);

||Now we need to check all possible combinations

||Real and different roots

If(d>0){

R1 = (-b +sqrt(d))/(2*a);

R2 = (-b -sqrt(d))/(2*a);

if(R1>(-5) & R1<5)

Printf("root1= %.4f",R1);

if(R2>(-5) & R2<5)

Printf("root2=%.4f",R2);

}

||Real and equal roots

Else if(d==0)

{

R1=R2= -b/(2*a);

if(R1>(-5) & R2<5)

Printf("root1=root2= %.4f",R1);

}

||Imaginary roots

Else

{

real = -b/(2*a);

imaginary = sqrt(-d)/(2*a);

if(real>(-5) & real<5)

{ if(imaginary>(-5) &imaginary<5)

{

Printf("root1=%.4f+%.4fi",real, imaginary);

Printf("root2=%.4f-%.4fi",real, imaginary);

}

}

}

}

Return 0;

}

|| If you still want to use your method then just add my logic for different cases.

|| Try not to use use rand() as it will return values in rangesonly betwwen 0 to rand_max(32767)

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