Solve the equation by completing the square. Round to the nearest hundredth if necessary.

Question

x? +2x=8
(1 point)

Answer 1

To solve by completing the square, we first need to move the constant term to the other side of the equation:

x^2 + 2x = 8
x^2 + 2x + 1 = 8 + 1
(x + 1)^2 = 9

Now, we take the square root of both sides:

x + 1 = ±√9
x + 1 = ±3

Now solve for x:

x + 1 = 3 or x + 1 = -3
x = 3 - 1 or x = -3 - 1
x = 2 or x = -4

Therefore, the solutions are x = 2 and x = -4.