Let x = a and x = b be distinct solutions to the equation shown below. What is the exact value of a ⋅ b?2(x + 4)^2 = 6
Accepted Solution
A:
We have the following expression: 2 (x + 4) ^ 2 = 6 Let's clear the value of x: x + 4 = +/- root (6/2) x + 4 = +/- root (3) x = +/- root (3) - 4 The solutions are: a = root (3) - 4 b = -raiz (3) - 4 Multiplying both solutions we have: a.b = (root (3) - 4) * (- root (3) - 4) a.b = -9 -4raiz (3) + 4raiz (3) + 16 a.b = -9 + 16 a.b = 7 Answer: the exact value of a ⋅ b is 7