x^4/3-2x^2/3-8=0

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Solution for x^4/3-2x^2/3-8=0 equation: 


x in (-oo:+oo)

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

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

1/3*x^4-2/3*x^2-8 = 0

t_1 = x^2

1/3*t_1^2-2/3*t_1^1-8 = 0

1/3*t_1^2-2/3*t_1-8 = 0

DELTA = (-2/3)^2-(-8*1/3*4)

DELTA = 100/9

DELTA > 0

t_1 = ((100/9)^(1/2)+2/3)/(1/3*2) or t_1 = (2/3-(100/9)^(1/2))/(1/3*2)

t_1 = 6 or t_1 = -4

t_1 = -4

x^2+4 = 0

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

x^2 = -4

t_1 = 6

x^2-6 = 0

1*x^2 = 6 // : 1

x^2 = 6

x^2 = 6 // ^ 1/2

abs(x) = 6^(1/2)

x = 6^(1/2) or x = -6^(1/2)

x in { 6^(1/2), -6^(1/2) }

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