Answer:
CE = 3
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
x(x + 1) = 3 × 4 = 12
x² + x = 12 ( subtract 12 from both sides )
x² + x - 12 = 0 ← in standard form
(x + 4)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 3 = 0 ⇒ x = 3
But x > 0 so x = 3
Then
CE = x = 3
