Question

33. If x4 +1/x4=727, find the values of
(i) x2 +1/x2​

Answer 1

Explanation:

x4+x41=727

x4+x41=727Adding 2 on both sides, we get

x4+x41+2×x2×x21=727+2

x4+x41=727Adding 2 on both sides, we get

x4+x41+2×x2×x21=727+2⇒(x2+x21)2=272

Taking square root both sides, we get

x2+x21=27

Subtracting 2 from both sides, we get

x2+x21−2×x×x1=27−2

x2+x21−2×x×x1=27−2⇒(x−x1)2=52

Taking square root on both sides, we get

x−x1=5.

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