Question

Find the value of x.

It’s using the intersecting secant formula for exteriors but I keep getting decimals and it’s wrong.

Answer 1

x = 7

Explanation:

x(XY) = 6(WX)

x(x + 11) = 6(6 + 15)

x² + 11x = 126

x² + 11x - 126 = 0

126 = 7 × 18

(x + 18)(x - 7) = 0

x + 18 = 0 or x - 7 = 0

x = -18 or x = 7

We discard the negative answer.

x = 7