Question

if x=2-√3 then find x^2+1/x^2​

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

Step-by-step explanation:

x=2-√3

1/x=2+√3/(2-√3)(2+√3)

=2+√3/2^2-(√3)^2=2+√3/4-3

=2+√3

x+1/x=2-√3+2+√3=4

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

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

=4^2-2=16-2=14

x^2+1/x^2=14