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sattari [20]
3 years ago
9

Select the factored form of the expression if it cannot be factored select already in factored form n^2+16n-64

Mathematics
1 answer:
Gemiola [76]3 years ago
3 0

Consider the expression n^2+16n-64.

Since

D=b^2-4ac=16^2-4\cdot (-64)=256+256=512,\\ \\\sqrt{D}=16\sqrt{2},

then

n_1=\dfrac{-16+16\sqrt{2}}{2}=-8+8\sqrt{2},\ n_2=\dfrac{-16-16\sqrt{2}}{2}=-8-8\sqrt{2}.

Therefore, the factored form of  n^2+16n-64 is (n+8-8\sqrt{2})(n+8+8\sqrt{2}).

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