Question

if x=2+√3, find the value of x^2+(1/x^2)​

Answer 1

Step-by-step explanation:

x²+1/x²

= (2+√3)² +1/(2+√3)²

=(4+2√3+3)+1/(7+2√3)

=[(7+2√3)*(7+2√3) + (7-2√3)] /(49-12)

= [ 49+28√3+12+7-2√3]/37

= (68+26√3)/37

Answer 2

Let’s put the value of x
=(2+_/3)^2+(1/(2+_/3)^2)
=4+3+1/4+3
=7+1/7
=(49+1)/7
=50/7