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Question 484832: (z-8)^2-7=0
Answer by nerdybill(7384)   (Show Source):
You can put this solution on YOUR website! (z-8)^2-7=0
(z-8)(z-8)-7=0
apply FOIL:
z^2-16z+64-7 = 0
z^2-16z+57 = 0
Since it can't be factor, applying the "quadratic formula" yields:
z = {5.354, 10.646}
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There is another way to do it...
(z-8)^2-7=0
(z-8)^2 = 7
take square root of both sides:
z-8 = +-sqrt(7)
z = +-sqrt(7) + 8
which gives you the same:
z = {5.354, 10.646}
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