2/x+x/2-2x/3=0

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Solution for 2/x+x/2-2x/3=0 equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

x/2-((2*x)/3)+2/x = 0

x/2+(-2/3)*x+2/x = 0

2*x^-1-1/6*x^1 = 0

(2*x^0-1/6*x^2)/(x^1) = 0 // * x^2

x^1*(2*x^0-1/6*x^2) = 0

x^1

(-1/6)*x^2+2 = 0

(-1/6)*x^2+2 = 0

DELTA = 0^2-(2*4*(-1/6))

DELTA = 4/3

DELTA > 0

x = ((4/3)^(1/2)+0)/(2*(-1/6)) or x = (0-(4/3)^(1/2))/(2*(-1/6))

x = -3*(4/3)^(1/2) or x = 3*(4/3)^(1/2)

x in { -3*(4/3)^(1/2), 3*(4/3)^(1/2)}

x in { -3*(4/3)^(1/2), 3*(4/3)^(1/2) }

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