Question

Q16.If x +1/x= 3, find the values of each of the following:

(i) x^2+1/x^2

. (II) x^4+1/x^4

Answer 1

Answer:

(i)17/4

(ii)257/16

Step-by-step explanation:

If x+1/x=3

Then,

x+1=3x

2x=1

x=1/2

(i) x^2+1/x^2

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

=1/4+1/1/4

=1/4+4

=17/4

(ii)x^4+1/x^4

=(1/2)^4+1/(1/2)^4

=1/16+1/1/16

=1/16+16

=257/16