If x4 + 1/x4=322, the then x - 1/x
is?
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Step-by-step explanation:
we have x4+1/x4=322
let x2=4, then x4+1/x4=42+1/4242+1/42= 42+1/42-24 1/4 -24 .1/4
putting X square =4, we get
xpower4+1/x power4= X square+1/x square-2
now, xsquare+1/X square=x square +1/X square.2x.1/X+ 2x.1/X
(x-1/2)=2.so
x power four +1/X power four= [(x-1/X)+2] square -2=322
[(x-1/x) square+2] square=322
[(x-1/X) square+2] square=18square
[(x-1/X) square]=16
x-1/X=4
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