2/3x-3/x

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Solution for 2/3x-3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

(2/3)*x-3*x^-1 = 0

2/3*x^1-3*x^-1 = 0

(2/3*x^2-3*x^0)/(x^1) = 0 // * x^2

x^1*(2/3*x^2-3*x^0) = 0

x^1

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

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

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

DELTA = 8

DELTA > 0

x = (8^(1/2)+0)/(2*(2/3)) or x = (0-8^(1/2))/(2*(2/3))

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

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

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

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