if 2(x^2+1) =5x then find x- 1/x and x^2-1/x^2
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Step-by-step explanation:
2(x²+1)=5x
2x²+2=5x
2x²-5x+2=0
2x²-4x-x+2=0
2x(x-2)-1(x-2)=0
(2x-1)(x-2)=0
x=1/2 or x=2
1/x=2 or 1/x=1/2
x-1/x= -3/2. or. x-1/x=3/2
x²-1/x²=1/4-4. or. x²-1/x²=4-1/4
= -15/4. =15/4
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