Question

if x +1/x = root 5 then find the value of x square +1/x square and x to the power 4 +1/xto the power 4​

Answer 1

Step-by-step explanation:

x+1x=2(1)

(x+1x)2=22

x2+1x2+2=4

x2+1x2=2(2)

(x−1x)2=x2+1x2−2=2−2=0

x−1x=0(3)

(1)×(3)⟹

(x+1x)(x−1x)=2×0

x2−1x2=0(4)

(2)×(4)⟹

(x2+1x2)(x2−1x2)=2×0

x4−1x4=0

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