Answer:
y = 2 sqrt(2) - 2 or y = -2 - 2 sqrt(2) thus B. is the correct answer
Step-by-step explanation:
Solve for y:
-y^2 - 4 y + 4 = 0
Multiply both sides by -1:
y^2 + 4 y - 4 = 0
Add 4 to both sides:
y^2 + 4 y = 4
Add 4 to both sides:
y^2 + 4 y + 4 = 8
Write the left hand side as a square:
(y + 2)^2 = 8
Take the square root of both sides:
y + 2 = 2 sqrt(2) or y + 2 = -2 sqrt(2)
Subtract 2 from both sides:
y = 2 sqrt(2) - 2 or y + 2 = -2 sqrt(2)
Subtract 2 from both sides:
Answer: y = 2 sqrt(2) - 2 or y = -2 - 2 sqrt(2)
