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
Question
Answer:
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
solved
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