Question

What is the value of x

Answer 1

4

Explanation:

The product of the secant lengths to the near and far circle intersection points is the same as the square of the tangent length.

x(x +12) = (x +4)²

x² +12x = x² +8x +16 . . . . eliminate parentheses

4x = 16 . . . . . . subtract x² +8x

x = 4 . . . . . . divide by 4