SOLUTION: how do i solve (1+X)/(2X)=9X using a quadratic formula?

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Question 2193: how do i solve
(1+X)/(2X)=9X using a quadratic formula?
Answer by matthew_sessoms(39) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2Bx%29%2F%282x%29=9x

Cross multiply and we get...
1%2Bx=18x%5E2


Now simplify and arrange the terms in descending order, like this...
18x%5E2+-+x+-+1+=+0


Now, plug it in the quadratic formula, which states x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+, like this...
x+=+%28-%28-1%29+%2B-+sqrt%28+%28-1%29%5E2-4%2A18%2A%28-1%29+%29%29%2F%282%2A18%29+


Simplify...
x+=+%281+%2B-+sqrt%28+73+%29%29%2F%2836%29+
MS