Answer:
x = 8
Step-by-step explanation:
Two secants drawn from an external point to the circle.
The (outside ) × (whole) of one secant is equal to the (outside) × (whole) of the other secant, that is
(x + 2)(x + 2 + 2x - 8) = (x + 1)(x + 1 + 2x - 5)
(x + 2)(3x - 6) = (x + 1)(3x - 4) ← expand both sides using FOIL
3x² - 12 = 3x² - x - 4 ( subtract 3x² - x - 4 from both sides )
x - 8 = 0 ( add 8 to both sides )
x = 8
