Question

What is the x coordinate of the intersection of y=4x-10 and y=(x-2) to the power of 2 +2

Answer 1

4

Explanation:

Equating the y-values gives an equation in x.

4x -10 = (x -2)^2 +2

0 = x^2 -4x +4 +2 -4x +10 . . . . . . . . eliminate parentheses, subtract 4x-10

x^2 -8x +16 = 0

(x -4)^2 = 0

x = 4

The x-coordinate of the one point of intersection is x = 4.