if x^2-5x+1=0,find value of x^2-1/x^2
step by step answer needed
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Step-by-step explanation:
x^2-5x+1
( divide the equation by x)
x - 5 + (1/x)
x - (1/x) = 5
( squaring both side )
( x -. (1/x))^2 = ( 5) ^2
x^2 - 2 + 1/x^2 = 25
x^2 - 1/x^2 = 25 + 2 = 27
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