1/4x^4-6x^2+11

Solution for 1/4x^4-6x^2+11 equation:

x in (-oo:+oo)

(1/4)*x^4-(6*x^2)+11 = 0

(1/4)*x^4-6*x^2+11 = 0

1/4*x^4-6*x^2+11 = 0

t_1 = x^2

1/4*t_1^2-6*t_1^1+11 = 0

1/4*t_1^2-6*t_1+11 = 0

DELTA = (-6)^2-(1/4*4*11)

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)+6)/(1/4*2) or t_1 = (6-25^(1/2))/(1/4*2)

t_1 = 22 or t_1 = 2

t_1 = 2

x^2-2 = 0

1*x^2 = 2 // : 1

x^2 = 2

x^2 = 2 // ^ 1/2

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

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

t_1 = 22

x^2-22 = 0

1*x^2 = 22 // : 1

x^2 = 22

x^2 = 22 // ^ 1/2

abs(x) = 22^(1/2)

x = 22^(1/2) or x = -22^(1/2)

x in { 2^(1/2), -2^(1/2), 22^(1/2), -22^(1/2) }