Question

If x = 3− √3/2, what is the value of x^2 +1/x^2 ?

Answer 1

Answer:

If x = 3 +2√2, then 1/x = 1/(3+2√2) =(3–2√2), because 3^2 -(2√2)^2 =9–8=1. Hence x^2 +(1/x^2) = [x+(1/x)]^2 -2 = 6^2 -2 =36 -2 = 34.