Question

**** Extra Credit

If EC= 6, DE= x - 4 and BE=x + 6, solve for x.

I don’t think I did this right

Answer 1

x = 6

Explanation:

We can solve for x in this circle using the intersecting chords theorem:

(x + 6)(x - 4) = 6 * 4

x² + 2x - 24 = 24

x² + 2x - 48 = 0

(x + 8)(x - 6) = 0

x = -8 or x = 6