Question

What is x? Help please

Answer 1

Answer: $x=\frac{8}{3}$

Step-by-step 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:

$x^2+9x+20=x^2+12x+12\\\\9x+20=12x+12\\\\20-12=12x-9x\\\\8=3x\\\\x=\frac{8}{3}$