Question

What is the value of x?2367​

Answer 1

Answer:

$x = 2$

Step-by-step 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