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Find all values of w for which the expression is undefined.

Find all values of w for which the expression is undefined.-example-1
User HPP
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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

User Rohim Chou
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