Question

find the value of: x²+1/x²&x⁴+1/x⁴ if x+1/x=3 ...​

Answer 1

Answer:

194

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Step-by-step explanation:

It is given that , x + 1/x = 4 —( 1 )

Do the square of equation ( 1 ), ( x + 1/x )²

= 4² x² + 1/x² + 2

= 16 x² + 1/x²

= 16 – 2 x² + 1/x²

= 14 –( 2 )

Again do the square of equation ( 2 ),

( x² + 1/x² )²

= 14² x⁴ + 1/x⁴ + 2

= 196 x⁴ + 1/x⁴

= 196 – 2 = 194

Answer 2

Answer :-

Direct answer is 11,119.

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