Find the x intercept of the graph of the equation -2(x+1)^2 +18

x = - 4, x = 2

Step-by-step explanation:

To find the x- intercepts equate the equation to zero, that is

- 2(x + 1)² + 18 = 0 ( subtract 18 from both sides )

- 2(x + 1)² = - 18 ( divide both sides by - 2 )

(x + 1)² = 9 ( take the square root of both sides )

x + 1 = ± = ± 3 ( subtract 1 from both sides )

x = ± 3 - 1

Hence

x = - 3 - 1 = - 4 and x = 3 - 1 = 2

The x- intercepts are x = - 4, x = 2