Was ist zu tun? Nullstellenbestimmung von 6x - 2x^-1 =0

Question

6x - 2x^-1 = 0

Kann ich die -1 vorziehen: 6x - (-1) × 2x = 0 ?

Answer 1

6x - 2x^-1 = 0

6x - 2/x = 0

6x^2 - 2 = 0

6x^2 = 2

x^2 = 1/3

x = ± √(1/3)

Answer 2

6x - 2x^-1 = 0

mal x auf beiden Seiten:

6 x^2-2=0 |+2

6x^2=2 |:6

x^2=1/3

x_1,2= ±√(1/3)