3x^4/3+2x^2/3=5

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Solution for 3x^4/3+2x^2/3=5 equation: 


x in (-oo:+oo)

(3*x^4)/3+(2*x^2)/3 = 5 // - 5

(3*x^4)/3+(2*x^2)/3-5 = 0

x^4+2/3*x^2-5 = 0

t_1 = x^2

1*t_1^2+2/3*t_1^1-5 = 0

t_1^2+2/3*t_1-5 = 0

DELTA = (2/3)^2-(-5*1*4)

DELTA = 184/9

DELTA > 0

t_1 = ((184/9)^(1/2)-2/3)/(1*2) or t_1 = (-(184/9)^(1/2)-2/3)/(1*2)

t_1 = ((184/9)^(1/2)-2/3)/2 or t_1 = (-((184/9)^(1/2)+2/3))/2

t_1 = (-((184/9)^(1/2)+2/3))/2

x^2-((-((184/9)^(1/2)+2/3))/2) = 0

x^2+(1/2)*((184/9)^(1/2)+2/3) = 0

1*x^2 = -(1/2*((184/9)^(1/2)+2/3)) // : 1

x^2 = -1/2*((184/9)^(1/2)+2/3)

t_1 = ((184/9)^(1/2)-2/3)/2

x^2-(((184/9)^(1/2)-2/3)/2) = 0

1*x^2 = ((184/9)^(1/2)-2/3)/2 // : 1

x^2 = ((184/9)^(1/2)-2/3)/2

x^2 = ((184/9)^(1/2)-2/3)/2 // ^ 1/2

abs(x) = (((184/9)^(1/2)-2/3)^(1/2))/(2^(1/2))

x = (((184/9)^(1/2)-2/3)^(1/2))/(2^(1/2)) or x = -((((184/9)^(1/2)-2/3)^(1/2))/(2^(1/2)))

x in { (((184/9)^(1/2)-2/3)^(1/2))/(2^(1/2)), -((((184/9)^(1/2)-2/3)^(1/2))/(2^(1/2))) }

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