5x2-4x/3x3

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Solution for 5x2-4x/3x3 equation:


x in (-oo:+oo)

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

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

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

t_1 = x^2

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

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

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

DELTA = 25

DELTA > 0

t_1 = (25^(1/2)-5)/(-4/3*2) or t_1 = (-25^(1/2)-5)/(-4/3*2)

t_1 = 0 or t_1 = 15/4

t_1 = 0

x^2+0 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

t_1 = 15/4

x^2-15/4 = 0

1*x^2 = 15/4 // : 1

x^2 = 15/4

x^2 = 15/4 // ^ 1/2

abs(x) = (15/4)^(1/2)

x = (15/4)^(1/2) or x = -(15/4)^(1/2)

x in { 0, (15/4)^(1/2), -(15/4)^(1/2) }

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