The roots of y^2 - 5y - 11 = 0 are a and b. Find (a + 3)(b + 3).
By Vieta's Theorem :
The sum of the roots, a + b = 5
The product of the roots, ab = -11
(a + 3) (b + 3) =
ab + 3b + 3a + 9 =
ab + 3 ( a + b) + 9 =
-11 + 3(5) + 9 =
13
