Question

Jika x^1/2+ x^-1/2 = 2 maka nilai dari x^2+x^-2 adalah

Answer 1

X^1/2 + x^-1/2 = 2
(x^1/2 + x^-1/2)^2 = 2^2
x + 2 + x^-1 = 4
x + x^-1 = 2

(x + x^-1)^2 = 2^2
x^2 + 2 + x^-2 = 4
x^2 + x^-2 = 2