Question

If (x+1/x) = 5, find the values of (x^2+1/x^2) and (x^4+1/x^4).

Answer fast.​

Answer 1

Answer:

Square on both sides,

( x - 1/x )² = 5²

=> x² + 1/x² - 2 = 25

=> x² + 1/x² = 27 [ 1 answer ]

Again square on both sides,

=> ( x² + 1/x² )² = 27²

=> x⁴ + 1/x⁴ + 2 = 729

=> x⁴ + 1/x⁴ = 727l

l hope this answer helps you

Answer 2

$x+\frac{1}{x} =5$

Squaring both sides:

$x^{2} + \frac{1}{x^2} +2 = 25\\x^2 + \frac{1}{x^2} = 23$

Further squaring:

$x^4 + \frac{1}{x^4} + 2= 529\\x^4 + \frac{1}{x^4} = 527$

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