Math, asked by hammu7773, 9 months ago

x = 1+√2, then the value of (x-(1/x)) is​

Answers

Answered by reeyu22
2

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

Answered by manisha8368
0

Answer is four ,by putting the value of x=1+√2 in the given equation or squaring on both side.

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