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

x2 + 2x = 8
(1 point)

1 answer

To complete the square for the equation x^2 + 2x = 8, we need to add and subtract (2/2)^2 = 1 to both sides to create a perfect square trinomial on the left side.

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

Now, we can solve for x by taking the square root of both sides:

x + 1 = ±√9
x + 1 = ±3
x = -1 ± 3
x = -4 or x = 2

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