if x^2-2x+1=0 then find x+1/x?
Answers
Answer:
Answer:
2
Step-by-step explanation:
x2-2x+1 = 0
x2-x-x+1 = 0
x(x-1) -1(x-1) = 0
(x-1) (x-1) = 0
=> x-1 = 0
x = 1
x+1/x = 1+ 1/1
= 1+1
= 2
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The option is (C)
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RenatoMattice Ambitious
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
We need to find the :
So, our equation becomes,
So, it becomes,
So, Option 'C' is correct.
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THANKS
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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.