Answer:
Explanation:
Did you mean (y+4)^2 = 2? " ^ " denotes exponentiation.
Expanding (y+4)^2 = 2, we get y^2 + 8y + 16 = 2, or
y^2 + 8y + 14 = 0
Let's apply the quadratic formula. First, find the discriminant, b^2 - 4ac:
8^2 - 4(1)(14) = 64 - 56 = 8 (which is the square of 2√2).
Because the discriminant is positive, there are two real, unequal roots (solutions). They are:
-8 ± √8
x = -------------- = -4 ± √2
2