Question

If you're good at math i'd love some help :)

Answer 1

x = 10, and x = - 2

Explanation:

This equation has two solutions, as it resembles a quadratic equation. When graphed it will be a parabola, and hence intersects the x - intercept at two points, giving us two solutions.

Let's start by expanding the equation,

(x - 4)² - 28 = 8,

(x - 4)² = 28 + 8,

(x - 4)² = 36,

x - 4 = √36, and x - 4 = - √36

x - 4 = 6, and x - 4 = - 6

Solution(s) : x = 10, and x = - 2

Answer 2

x = 10 x = -2

Explanation:

(x-4)^2 -28 = 8

This is a parabola on the left and a constant line on the right. The parabola will cross the line twice, so there will be two solutions

see attached

Add 28 to each side

(x-4)^2 -28+28 = 8+28

(x-4)^2 = 36

Take the square root of each side

sqrt((x-4)^2) = ±sqrt(36)

x-4 = = ±6

Add 4 to each side

x-4+4 = 4±6

x = 4+6 x = 4-6

x = 10 x = -2