Answer:
x = 2
Step-by-step explanation:
Given 2 intersecting chords, then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
EB × AE = ED × CE
x(x + 1) = 3 × 2 = 6
x² + x = 6 ( subtract 6 from both sides )
x² + x - 6 = 0 ← in standard form
(x + 3)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
x - 2 = 0 ⇒ x = 2
But x > 0 , then x = 2