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.
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 + 2x = 8
(1 point)
1 answer