Question

10) p. 53, problem 2.4.7. Write a Python program that uses the Quadratic Formula to calculate the real solutions to an equation in the form x 2 +bx+c=0 . Prompt the user to enter values for a, b, and c, then display the solutions. For the purposes of this assignment, you may assume that every equation will have two distinct, real solutions. Put your program in the Homework 1 folder on your K: drive. Here is a sample run of the program to solve the equationx 2−25=0: CSC 140 North Central College Fundamentals of Computational Problem Solving Spring 2019 Enter the coefficients of a quadratic equation and I will tell you the solutions of the equation. Enter a: 1 Enter b: 0 Enter c: -25 The solutions are 5.0 and -5.0

The well-known quadratic formula, shown below, gives solutions to the quadratic equation ax² + bx + c = 0.

x=−b±√b2−4ac2ax=−b±b2−4ac2a

Show how you can use this formula to compute the two solutions to the equation 3x² + 4x – 5 = 0.

Answer 1

import math


def main():
    print("CSC 140 North Central College Fundamentals of Computational Problem Solving Spring 2019")
    print("Enter the coefficients of a quadratic equation and I will tell you the solutions of the equation.")
    a = float(input('Enter a: '))
    b = float(input('Enter b: '))
    c = float(input('Enter c: '))
    d = math.sqrt((b ** 2) - (4 * a * c))
    r1 = (-b + d) / (2 * a)
    r2 = (-b - d) / (2 * a)
    print("The solutions are {} and {}".format(r1, r2))


main()

Csc 140 North Central College Fundamentals of Computational Problem Solving Spring 2019 Enter the coefficients of a quadratic equation and I will tell you the solutions of the e Enter a: Enter b: quation The solutions are 5.0 and-5.0