Question

What is the value of x?

2
3
6
7

Answer 1

x = 2

Explanation:

By the property of intersecting chords outside of the circle.

`EC * ED = EB * EA \\ (x + 4)(x + 4 + 1) = (x + 1)(x + 1 + 11) \\ (x + 4)(x + 5) = (x + 1)(x + 12) \\ {x}^(2) + (4 + 5)x + 20 = {x}^(2) + (1 + 12)x + 12 \\ 9x + 20 = 13x + 12 \\ 9x - 13x = 12 - 20 \\ - 4x = - 8 \\ x = ( - 8)/( - 4) \\ \huge \red{ \boxed{x = 2}}`