12x^4/9-x^2

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Solution for 12x^4/9-x^2 equation: 


x in (-oo:+oo)

(12*x^4)/9-x^2 = 0

4/3*x^4-x^2 = 0

t_1 = x^2

4/3*t_1^2-1*t_1^1 = 0

4/3*t_1^2-t_1 = 0

DELTA = (-1)^2-(0*4/3*4)

DELTA = 1

DELTA > 0

t_1 = (1^(1/2)+1)/(4/3*2) or t_1 = (1-1^(1/2))/(4/3*2)

t_1 = 3/4 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 = 3/4

x^2-3/4 = 0

1*x^2 = 3/4 // : 1

x^2 = 3/4

x^2 = 3/4 // ^ 1/2

abs(x) = (3/4)^(1/2)

x = (3/4)^(1/2) or x = -(3/4)^(1/2)

x in { 0, (3/4)^(1/2), -(3/4)^(1/2) }

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