SOLUTION: 1/x+3+6/x^2=1

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Question 317125: 1/x+3+6/x^2=1
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1%2F%28x%2B3%29%2B6%2Fx%5E2=1
x%5E2%2B6%2A%28x%2B3%29=x%5E2%28x%2B3%29
x%5E2%2B6x%2B18=x%5E3%2B3x%5E2
x%5E3%2B2x%5E2-6x-18+=0+
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As you can see there is one real root and two complex roots for this equation (since it only crosses the x-axis at one point).
I used the cubic equation solver at www.1728.com/cubic.htm to find the real root.
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highlight%28x=2.6976%29