1/3x^4-30x^2+243=0

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Solution for 1/3x^4-30x^2+243=0 equation: 


x in (-oo:+oo)

(1/3)*x^4-(30*x^2)+243 = 0

(1/3)*x^4-30*x^2+243 = 0

1/3*x^4-30*x^2+243 = 0

t_1 = x^2

1/3*t_1^2-30*t_1^1+243 = 0

1/3*t_1^2-30*t_1+243 = 0

DELTA = (-30)^2-(1/3*4*243)

DELTA = 576

DELTA > 0

t_1 = (576^(1/2)+30)/(1/3*2) or t_1 = (30-576^(1/2))/(1/3*2)

t_1 = 81 or t_1 = 9

t_1 = 9

x^2-9 = 0

1*x^2 = 9 // : 1

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

t_1 = 81

x^2-81 = 0

1*x^2 = 81 // : 1

x^2 = 81

x^2 = 81 // ^ 1/2

abs(x) = 9

x = 9 or x = -9

x in { 3, -3, 9, -9 }

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