Final answer:
To solve the equation -2(x - 8)² + 9 = -5 using square root, simplify the equation, isolate the squared term, take the square root of both sides, and solve for x.
Step-by-step explanation:
To solve the equation -2(x - 8)² + 9 = -5 using square root, we can start by isolating the squared term on one side:
-2(x - 8)² = -5 - 9
-2(x - 8)² = -14
Next, divide both sides of the equation by -2:
(x - 8)² = 7
Now, take the square root of both sides:
x - 8 = ±√7
Finally, solve for x by adding 8 to both sides:
x = 8 ± √7
So, the solutions are x = 8 + √7 and x = 8 - √7.