x = 1+√2, then the value of (x-(1/x)) is
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Given -
- X = 1 + √2
To find -
• Value of ( x- 1/x))
Solution -
PUTTING VALUE OF X = 1 + √2 IN Eq.
(X - (1/x))
Squarring both sides we get.
( x- 1/x)^2
USING IDENTITY ( a+ b)^2 = a^2 + b^2 + 2ab
( x)^2 +( 1/x)^2 + 2(x) (1/x)
(x^2) + 1/x^2 - 2
( 1 + √2)^2 + 1/ 1+ √2^2 - 2
1 + 2 + 2√2 + 1/ 1 + 2 + 2√2 - 2
3 + 2√2 + 1/ 1 + 2√2
3 + 1/1
4/1
4
# Be brainly
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Answer is four ,by putting the value of x=1+√2 in the given equation or squaring on both side.
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