SOLUTION: I need to solve for x using the quadratic equation. The problem is... "(5/(w^2))-(10/w)+2=0. I need to solve for x, I need more than an answer, I need the steps.

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Question 209862: I need to solve for x using the quadratic equation. The problem is... "(5/(w^2))-(10/w)+2=0. I need to solve for x, I need more than an answer, I need the steps.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
(5/(w^2))-(10/w)+2=0
Multiply thru by w^2 to get:
2w^2 - 10w + 5 = 0
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w = [10 +-sqrt(100-4*2*5)]/4
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w = [10 +- sqrt(60)]/4
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w = [10 +- 2sqrt(15)]/4
Simplify to see two answers
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Cheers,
Stan H.