Respuesta :

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