x^2 + 2x = 8
To complete the square, first add and subtract (2/2)^2 = 1 to both sides:
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
Solve for x:
x = 3 - 1 = 2
x = -3 - 1 = -4
Therefore, the solutions are x = 2 and x = -4.
So x = 2 and x = -4.
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 + 2x = 8
(1 point)
Responses
x = 2, 4
x = 2, 4
x = –2, 4
x = –2, 4
x = 2, –4
x = 2, –4
x = –2, –4
1 answer