Solve the equation. Identify any extraneous solutions. w=sqrt 7w

asked Jan 6, 2019 200k views

5 votes

Solve the equation. Identify any extraneous solutions.

w=sqrt 7w

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7 votes

$The\ domain:\\D:w\geq0\\\\w=√(7w)\ \ \ |^2\\\\w^2=7w\ \ \ \ |-7w\\\\w^2-7w=0\\\\w(w-7)=0\iff w=0\ \vee\ w-7=0\ \ \ |+7\\\\w=0\in D\ \vee\ w=7\in D$

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