Question

If x = (7+4√3), then the value of x^2 + 1/x^2 is​

Answer 1

194.

Explanation:

x = (7+4√3)

x^2 = x = (7+4√3)^2

= 49 + 48 + 56√3

= 97 + 56√3

x^2 + 1/x^2 = 97 + 56√3 + 1/(97 + 56√3)

= 194.