Answer:
Step-by-step explanation:
Comment
The square of the tangent = the external segment of the secant * the full length of the secant.
Formula
(x - 1)^2 = (x - 3)*(x - 3 + 5) Combine the right
Solution
(x - 1)^2 = (x - 3)*(x +2) Remove the brackets on both sides
x^2 - 2x + 1 = x^2 -3x + 2x - 6 Combine the right
x^2 - 2x + 1 = x^2 - x - 6 Subtract x^2 from both sides
-2x + 1 = - x - 6 Add 6 to both sides
-2x + 1 + 6 = -x - 6 + 6 Combine
-2x + 7 = - x Add 2x to both sides
-2x+2x + 7 = -x+2x Combine
7 = x
Answer
x = 7
