Nonlinear Functions

Question

In the xy-plane, the graph of y=4x²−10x intersects the graph of y=2x at the points (0,0) and (n,2n). What is the value of n?

Answer 1

4x² -10x = 2x

4x² - 12x = 0

4x(x - 3) = 0

4x = 0

x = 0

We've already been given this point.

x - 3 = 0

x = 3

y = 4(3²) - 10(3)

y = 4(9) - 30

y = 6

n = 3

Answer 2

Change the x to n, set the two equations equal, then solve for n. Once you have the value for n, the point of intersection is (n,2n).