Question

If x = (2 +√3)) Find the value of (x²+ 1/x^2)​

Answer 1

x² + 1 / x² = 14.

Thank you!!

Answer 2

Answer:

(2+√3)^2+1/(2+√3)^2

put a2+b2-2ab

=4+3+4√3+1/ 7+4√3

=8+4√3/ 7+4√3

=(8+4√3)(7-4√3) / (7+4√3)(7-4√3)

56-32√3+ 28√3 - 48 /49-48

8-4√3