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Question Number 42118 by Akashuac last updated on 18/Aug/18

x−4=−(1/x) then . prove x^4 −194=−(1/x^4 )

x−4=−1xthen.provex4−194=−1x4

Answered by tanmay.chaudhury50@gmail.com last updated on 18/Aug/18

x+(1/x)=4 x^2 +(1/x^2 )=4^2 −2=14 x^4 +(1/x^4 )=(x^2 +(1/x^2 ))^2 −2=14^2 −2=194 so x^4 −194=−(1/x^4 )

x+1x=4x2+1x2=42−2=14x4+1x4=(x2+1x2)2−2=142−2=194sox4−194=−1x4

Commented by Akashuac last updated on 18/Aug/18

thanks

thanks

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