Question

if x+1/x= 6 , find (i) x-1/x (ii) x² - 1/x²​

Answer 1

Answer:

x+1/x=6

x+1=6x

5x=1

x=1/5

1) x-1/x

=1/5-1/ 1/5

=1-5/5 /1/5

=1-5/1

=-4

2) x^2-1/x^2

=(1/5^2-1) /(1/5)^2

=1/25 -1 /1/25

=(1-25/25)/1/25

=1-25 /1

=-24