SOLUTION: 1+3/x=2/xsquared

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Question 982809: 1+3/x=2/xsquared
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
1 + 3%2Fx+=+2%2Fx%5E2
multiply each term by x^2, cancel the denominators and you have
x^2 + 3x = 2
subtract 2 from both sides, to form a quadratic equation
x^2 + 3x - 2 = 0
use the quadratic formula; x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
a = 1; b = 3; c =-2
x+=+%28-3+%2B-+sqrt%28+3%5E2-4%2A1%2A-2+%29%29%2F%282%2A1%29+
:
x+=+%28-3+%2B-+sqrt%289-%28-8+%29%29%29%2F2+
:
x+=+%28-3+%2B-+sqrt%289%2B8%29%29%2F2+
To solutions
x+=+%28-3+%2B+sqrt%2817%29%29%2F2+
x = .56
and
x+=+%28-3+-+sqrt%2817%29%29%2F2+
x = -3.56