Use square roots to solve the equation x2 = –64 over the complex .numbers. Select any solutions that apply. an 8i b -8 c -8i^2 d -8i

Dog Ears asked May 5, 2023

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Use square roots to solve the equation x2 = –64 over the complex .numbers. Select any solutions that apply.

an 8i
b -8
c -8i^2
d -8i

Dog Ears asked May 5, 2023

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$x^2=-64\implies x=√(-64)\implies x=√(-1\cdot 64)\implies x=√(-1)\cdot √(64) \\\\\\ x=√(-1)\cdot 8\implies x=i\cdot 8\implies x=8i$

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