Hello from MrBillDoesMath!
Answer:
w = 8, -2
Discussion:
The expression is undefined when the denominator is zero. So when does
w^2 - 6w - 16 = 0? Let's factor the expression. A little trial and error shows that 8 + (-2) = 6 (the coefficient of w) and 8 * (-2) = -16 (the constant value) so w^2 - 6w -1 6 = (w-8) (w- (-2)) and the expression equals zero when w = 8 or w = -2
Thank you,
MrB