if,
![if (x + 1 |x) = 5 find \: the \: value \: of( {x}^{2} + 1 | {x}^{2} )and \: ( {x}^{4} + 1 | {x}^{4} ) if (x + 1 |x) = 5 find \: the \: value \: of( {x}^{2} + 1 | {x}^{2} )and \: ( {x}^{4} + 1 | {x}^{4} )](https://tex.z-dn.net/?f=if+%28x+%2B+1+%7Cx%29+%3D+5+find+%5C%3A+the+%5C%3A+value+%5C%3A+of%28+%7Bx%7D%5E%7B2%7D++%2B+1+%7C+%7Bx%7D%5E%7B2%7D+%29and+%5C%3A+%28++%7Bx%7D%5E%7B4%7D++%2B+1+%7C+%7Bx%7D%5E%7B4%7D+%29)
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Answer:
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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