Answer:
4
Step-by-step 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.
