Write a program to solve a quadratic equation. The program should allow the user to enter the values for a, b, and c. If the discriminant is less than zero, a message should be displayed that the roots are imaginary; otherwise, the program should then proceed to calculate and display the two roots of the eqaution. (Note: Be certain to make use of the squareRoot () function that you developed in this chapter.) (In C language)

Hint: This should not be too hard. You need to get some numbers from the user, do some calculations, check if the discriminate is negative, then use the textbook author’s squareRoot function to finish up the calculations!

program 7.8:

// Function to calculate the absolute value of a number

#include

float absoluteValue(float x)

{

if (x < 0)

x = -x;

return (x);

}

// Function to compute the square root of a number

float squareRoot(float x)

{

const float espsilon = .00001;

float guess = 1.0;

while (absoluteValue(guess * guess - x) >= espsilon)

guess = (x / guess + guess) / 2.0;

return guess;

}

int main(void)

{

printf("squareRoot (2.0) = %f\n", squareRoot(2.0));

printf("squareRoot (144.0) = %f\n", squareRoot(144.0));

printf("SquareRoot (17.5) = %f\n", squareRoot(17.5));

return 0;

}

// Program to calculate the roots of a quadratic equation

// This program is written in C programming language

// Comments are used for explanatory purpose

// Program starts here

#include<stdio.h>

#include<math.h>

int main()

{

// For a quadratic equation, ax² + bx + c = 0, the roots are x1 and x2

// where d =(b² - 4ac) ≥ 0

// Variable declaration

float a,b,c,d,x1,x2;

// Accept inputs

printf("Enter a, b and c of quadratic equation: ");

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

// Calculate d

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

// Check if d > 0 or not

if(d < 0){ // Imaginary roots exist

printf("The roots are imaginary");

}

else // Real roots exist

{

// Calculate x1 and x2

x1= ( -b + sqrt(d)) / (2* a);

x2 = ( -b - sqrt(d)) / (2* a);

// Print roots

printf("Roots of quadratic equation are: %.3f , %.3f",x1,x2);

}

return 0;

}

return 0;

}

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