Question

What is the value of x?

Answer 1

I have no idea. But I just want to let you know to not put this many points, because people are going to take them without answering the question. And I don't know the answer because there are multiple x's.

Answer 2

x = 8

Explanation:

Remark

I agree with the other responder. You need only pay 20 points to get our attention. (20 will give us 10).

The length from the intersect point to the circle times the entire length of the secant is equal to any other secant divided up the same way.

Put simpler

Equation

(x + 2)(x + 2 + 2x- 8) = (x + 1)(x + 1 + 2x - 5)

Combine like terms

Solution

(x + 2)(3x - 6) = (x + 1)(3x - 4) Remove the brackets on both sides.

3x^2 + 6x - 6x - 12 = 3x^2 + 3x - 4x - 4 Combine the like terms

3x^2 - 12 = 3x^2 - x - 4 Subtract 3x^2 from both sides

- 12 = - x - 4 Add 4 to both sides

-12 +4 = - x

- 8 = - x Multiply both sides by -1

x = 8