SOLUTION: solve the provided rational equation 3/w^2=2+1/w

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Question 326636: solve the provided rational equation
3/w^2=2+1/w

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!

3%2Fw%5E2=2%2B1%2Fw
3%2Fw%5E2=2w%5E2%2Fw%5E2%2Bw%2Fw%5E2
%283-2w%5E2-w%29%2Fw%5E2=0
The numerator must equal zero.
-2w%5E2%2Bw-3=0
2w%5E2-w%2B3=0
%282w%2B3%29%28w-1%29=0
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Two solutions:
2w%2B3=0
2w=-3
w=-3%2F2
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w-1=0
w=1