if,
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given,
X + 1/X = 5,
squaring in both sides,
=> X ^2+ 1/X^2+2 = 25,
=>X^2+ 1/X^2 = 23,
again squaring on both sides,
=>X^4+ 1/X^4 + 2 = 529,
=> X^4+ 1/X^4 = 527.
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