Answer:
x = 4
Explanation:
If 2 chords of a circle intersect , then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
x(x + 6) = 5 × 8 = 10
x² + 6x = 40 ( subtract 40 from both sides )
x² + 6x - 40 = 0 ← in standard form
(x + 10)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x - 4 = 0 ⇒ x = 4
However, x > 0 , then x = 4