Question

Only Solve Option B Okk​

Answer 1

x⁴ + (1/x)⁴ = ?

x + 1/x = 5.

x⁴ + (1/x)⁴

= { x² }² + { (1/x)² }²

= ( x² + 1/x² )² - 2×x×1/x.

{ a² + b² = (a+b)² - 2ab } .

= { (x)² + (1/x)² }² - 2.

= (x + 1/x)² - 2×x×1/x - 2.

= (5)² - 2 - 2 .

( replacing x + 1/x by 5 ).

= 25 - 4

= 21.

Answer 2

Answer:

x + 1/x = 2

On squaring we get

x^2 + 1/x^2 + 2 = 4

i.e. x^2 + 1/x^2 = 2

Now again squaring the obtained equation

x^4 + 1/x^4 + 2 = 4

x^4 + 1/x^4 = 2 .

Well thats it ! The answer to the question is 2 .

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