Question

Solve the equation -2(x - 8)² + 9 = -5 using square root.

a) x = 1
b) x = 15
c) x = 7
d) x = 9

Answer 1

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.