Question

Find the value of x^2+1/x^2 and x^4+1/x^4 if x+1/x=3.

Answer 1

Step-by-step explanation:

Given that

x+1/x =3

=>1+(1/x) = 3

=>1/x = 3-1

=>1/x = 2

=>1 = 2x

=>x = 1/2

putting x= 2

x>2+1/x>2 = 2>2 +1/2>2 ( > = power )

=4+1/4

=5/4

=1.25

x>4+1/x>4 = 2>4+1/2>4

= 16+1/16

=17/16