6x^4-8x^2+3/8x^2

Solution for 6x^4-8x^2+3/8x^2 equation:

x in (-oo:+oo)

6*x^4-(8*x^2)+(3/8)*x^2 = 0

6*x^4-8*x^2+(3/8)*x^2 = 0

6*x^4-61/8*x^2 = 0

t_1 = x^2

6*t_1^2-61/8*t_1^1 = 0

6*t_1^2-61/8*t_1 = 0

DELTA = (-61/8)^2-(0*4*6)

DELTA = 3721/64

DELTA > 0

t_1 = ((3721/64)^(1/2)+61/8)/(2*6) or t_1 = (61/8-(3721/64)^(1/2))/(2*6)

t_1 = 61/48 or t_1 = 0

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 61/48

x^2-61/48 = 0

1*x^2 = 61/48 // : 1

x^2 = 61/48

x^2 = 61/48 // ^ 1/2

abs(x) = (61/48)^(1/2)

x = (61/48)^(1/2) or x = -(61/48)^(1/2)

x in { 0, (61/48)^(1/2), -(61/48)^(1/2) }