Question

1. Solve 2(x + 1)^2 = 18. What are the x-intercepts?

Answer 1

Answer:

The x-intercepts are $(2,0)$ and $(-4,0)$.

Step-by-step explanation:

We are given the equation

$2(x+1)^2=18$

Begin by dividing both sides of the equation by 2:

$(x+1)^2=9$

Next, take the square root of both sides. Remember that there are two solutions to a square root, the positive and the negative root:

$x+1=\pm3$

Split the equation into two based on the two solutions:

$x+1=-3$

$x+1=3$

Solve each equation by subtracting 1 from both sides:

$x=-4\\ x=2$

Since the x-intercepts are the solutions to a quadratic, we know the solutions are (2,0) and (-4,0).