Question

M is the midpoint of A and B. What is the measure of AM, if AM = x² and MB = 10x - 24?

Answer 1

AM = 144

Explanation:

Since M is a midpoint, AM and MB are equal to each other.

x^2 = 10x - 24

Solve for x. Don't forget to substitute the x value back into x^2 to find AM. One value of x must be tossed out because it makes the length of MB negative. See image.