Math, asked by jannedhanunjaya1985, 6 months ago

If x+1\x=9,find the value of x4+1\x4​

Answers

Answered by singhashish7578
28

Step-by-step explanation:

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Answered by amitnrw
5

Given : x + 1/x  = 9

To Find : Value of  x⁴  + 1/x⁴

Solution:

x + 1/x  = 9

Squaring both sides

=> x² + 1/x²  + 2x(1/x) = 81

=> x² + 1/x² + 2 = 81

=> x² + 1/x² = 79

Squaring both sides again

=> x⁴ + 1/x⁴ + 2x²(1/x²)  = 79²

( 79² = (80 - 1)¹ = 6400 + 1 - 2(80)(1)   = 6241  )

=> x⁴ + 1/x⁴ + 2 = 6241

=> x⁴ + 1/x⁴ = 6239

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