Question

Write a quadratic Equation with the given solutions. Solve both 1) 4 and -5 2) 3 and 8

Answer 1

Answer:

see explanation

Step-by-step explanation:

given the solutions say x = a, x = b then

(x - a) and (x - b) are the factors of the quadratic and the quadratic is the product of the factors, that is

y = k(x - a)(x - b) → where k is a multiplier

(1) for x = 4 and x = - 5

(x - 4) and (x + 5) are the factors

let k = 1, then

y = (x - 4)(x + 5) = x² + x - 20 ← quadratic

(2) for x = 3 and x = 8

(x - 3) and (x - 8) are the factors

let k = 1, then

y = (x - 3)(x - 8) = x² - 11x + 24 ← quadratic