Question

ifx-1÷x=4then find the value of x^2+1÷x^2 and x^4+1÷x^4​

Answer 1

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Answer 2

Step-by-step explanation:

x-1/x=4

on squaring both sides

(x-1/x)^2=4^2

x^2-2+1/x^2=16

x^2+1/x^2=16+2

x^2+1/x^2=18

now, on squaring both sides

(x^2+1/x^2)^2=16^2

x^4+2+1/x^4=256

x^4+1/x^4=256-2

x^4+1/x^4=254