Question

What is the value of x?

2
3
6
7
​

Answer 1

A: 2

Step-by-step explanation: edg

Answer 2

`x = 2`

Explanation:

Using the property of two secants segments to a circle, we have that:

`EB * EA = EC * ED`

`(x + 1)(x + 1 + 11) = (x + 4)(x + 4 + 1)`

`(x + 1)(x + 12) = (x + 4)(x + 5)`

`x^2 + 13x + 12 = x^2 + 9x + 20`

`13x + 12 =9x + 20`

`13x - 9x = 20 - 12`

`4x = 8`

`x = 2`

So the value of x is 2