If x2-2x+1=0 then x 1/x is equals to
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Question:-
If x2-2x+1=0 then x + 1/x is equals to
Solution:-
=> x² - 2x + 1 = 0
by mid term splitting.
=> x² - x - x + 1 = 0
=> x ( x - 1 ) - 1 ( x - 1 ) = 0
=> ( x - 1 ) ( x - 1 ) = 0
=> x - 1 = 0 or x - 1 = 0
we get x = 1 from both
=> x = 1
put x = 1 in below
=> x + 1/x
=> 1 + 1/1
=> 1 + 1
=> 2
Hence, x + 1/x = 2
i hope it helps you.
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