Question

if x+1/x=2 prove that x^2+1/x^2=x^3+1/x^3=x^4+1/x^4​

Answer 1

Answer:

It is very easy,bro.

May be you solve it.

Step-by-step explanation:

Answer 2

Answer:

Hence proved

Step-by-step explanation:

x+1/x=2

->(x+1/x)square = 2 square

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

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

              = 2

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

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

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

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

              = 2

->(x+1/x)^3=2^3

x^3+1/x^3+3(x+1/x)=8

x^3+1/x^3+3*2=8

x^3+1/x^3=8-6

x^3+1/x^3=2

x^2+1/x^2=2

x^3+1/x^3=2

x^4+1/x^4=2

Hence Proved

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