Question

if x+1/x=4, find the value of x^2+ 1/x^2

Answer 1

x + 1/x = 4 or, Squaring both sides, (x + 1/x)^2 = (4)^2 or, x^2 + 2(x)(1/x) + 1^2/x^2 = 16 or, x^2 + 2 + 1/x^2 = 16 or, x^2 + 1/x^2 = 16 - 2 or, x^2 + 1/x^2 = 14 (Answer)