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

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Question 431851: Solve
1+ 1/x^2 = 3/x
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
1%2B+1%2Fx%5E2+=+3%2Fx
+3%2Fx+-1%2Fx%5E2=+1
LCD = x^2
%283x-1%29%2Fx%5E2+=1
3x-1= 1*x^2
3x-1=x^2
x^2-3x+1=0

Find the roots of the equation by quadratic formula

a= 1 b= -3 c= 1

b^2-4ac=9-4
b^2-4ac=5 , sqrt%285%29=2.24
x=%28-b%2B-sqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=%28-b%2Bsqrt%28b%5E2-4ac%29%29%2F%282a%29
x1=(3+2.24)/2
x1=2.62
x2=(3-2.24)/2
x2=0.38