if 2(x^2 + 1)=5x then find x-1/x
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2x^2+2=5x
2x^2-5x+2=0
2x^2-4x-x+2=0
2x(x-2)-1(x-2)=0
(x-2)(2x-1)=0
x-2=0 or 2x-1=0
x=2 or x=1/2
therefore
if x=2
x-1/x =2-1/2=3/2
if x=1/2
x-1/x =1/2-2
=-3/2
2x^2-5x+2=0
2x^2-4x-x+2=0
2x(x-2)-1(x-2)=0
(x-2)(2x-1)=0
x-2=0 or 2x-1=0
x=2 or x=1/2
therefore
if x=2
x-1/x =2-1/2=3/2
if x=1/2
x-1/x =1/2-2
=-3/2
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