Question

The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?

A
x=−8 and x=−2

B
x=−6 and x=10

C
x=−4 and x=4

D
x=−2 and x=6

Answer 1

The intersection points of both the equations are the solutions

From the graph the points are

• (6,10)
• (-2,-6)

Hence

x=-2 and x=6 are the solutions

Option D

Answer 2

x= -2 and x = 6

Explanation:

The solutions are where the two graphs intersect

x=6, y= 10 is one point

x=-2 and y = -6 is the other point