Question

If ^4 +1/^4 = 34 ( > 1), then find the value of +1/

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Answer 1

Step-by-step explanation:

If the value of x^4 +1/x^4 = 322, then what is the value of x-1/x?

x4+1x4=322(1)

(x2+1x2)2=x4+1x4+2

⟹

(x2+1x2)2=322+2=324

(x2+1x2)=324−−−√=18(2)

(x−1x)2=x2+1x2−2

(2)⟹

(x−1x)2=18−2=16

(x−1x)=16−−√

(x−1x)=±4(3)