Question

What is x? Help please

Answer 1

Answer:
`x=(8)/(3)`

Explanation:

By the Intersecting secants theorem, we know that:

`EC*ED=EB*EA`

Then, substituting, we get:

`(x+4)(x+4+1)=(x+1)(x+1+11)\\\\(x+4)(x+5)=(x+1)(x+12)`

Now we need to expand the expression:

`x^2+5x+4x+20=x^2+12x+x+12`

Simplifying, we get that the value of "x" is:

`x^2+9x+20=x^2+12x+12\\\\9x+20=12x+12\\\\20-12=12x-9x\\\\8=3x\\\\x=(8)/(3)`