3a4-2a2-1/4=0

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Solution for 3a4-2a2-1/4=0 equation: 


a in (-oo:+oo)

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

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

t_1 = a^2

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

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

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

DELTA = 7

DELTA > 0

t_1 = (7^(1/2)+2)/(2*3) or t_1 = (2-7^(1/2))/(2*3)

t_1 = (7^(1/2)+2)/6 or t_1 = (2-7^(1/2))/6

t_1 = (2-7^(1/2))/6

a^2-((2-7^(1/2))/6) = 0

1*a^2 = (2-7^(1/2))/6 // : 1

a^2 = (2-7^(1/2))/6

t_1 = (7^(1/2)+2)/6

a^2-((7^(1/2)+2)/6) = 0

1*a^2 = (7^(1/2)+2)/6 // : 1

a^2 = (7^(1/2)+2)/6

a^2 = (7^(1/2)+2)/6 // ^ 1/2

abs(a) = ((7^(1/2)+2)^(1/2))/(6^(1/2))

a = ((7^(1/2)+2)^(1/2))/(6^(1/2)) or a = -(((7^(1/2)+2)^(1/2))/(6^(1/2)))

a in { ((7^(1/2)+2)^(1/2))/(6^(1/2)), -(((7^(1/2)+2)^(1/2))/(6^(1/2))) }

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