48a^4-16a^2-32/8a^2-8

Solution for 48a^4-16a^2-32/8a^2-8 equation:

a in (-oo:+oo)

48*a^4-(16*a^2)-((32/8)*a^2)-8 = 0

48*a^4-16*a^2-4*a^2-8 = 0

48*a^4-20*a^2-8 = 0

t_1 = a^2

48*t_1^2-20*t_1^1-8 = 0

48*t_1^2-20*t_1-8 = 0

DELTA = (-20)^2-(-8*4*48)

DELTA = 1936

DELTA > 0

t_1 = (1936^(1/2)+20)/(2*48) or t_1 = (20-1936^(1/2))/(2*48)

t_1 = 2/3 or t_1 = -1/4

t_1 = -1/4

a^2+1/4 = 0

1*a^2 = -1/4 // : 1

a^2 = -1/4

t_1 = 2/3

a^2-2/3 = 0

1*a^2 = 2/3 // : 1

a^2 = 2/3

a^2 = 2/3 // ^ 1/2

abs(a) = (2/3)^(1/2)

a = (2/3)^(1/2) or a = -(2/3)^(1/2)

a in { (2/3)^(1/2), -(2/3)^(1/2) }