Question

x-1/x=√2 find x²+1/x²

Answer 1

Answer:

GIVEN ::

x - (1/x) = √2

Now

x² + (1/x)²

= (x - 1/x)² 4 2*x*(1/x)

= (√2) ² - 2

= 2 - 2

= 0

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Answer 2

Step-by-step explanation:

Given -

• x - 1/x = √2

To Find -

• Value of x² + 1/x²

Now,

⇝x - 1/x = √2

Squaring both sides :-

⇝(x - 1/x)² = (√2)²

⇝x² + 1/x² - 2 × x × 1/x = 2

⇝x² + 1/x² = 2 + 2

⇝x² + 1/x² = 4

Hence,

The value of x² + 1/x² is 4.