3x-1/2x-x-3/x

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Solution for 3x-1/2x-x-3/x equation: 


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 18

DELTA > 0

x = (18^(1/2)+0)/(2*(3/2)) or x = (0-18^(1/2))/(2*(3/2))

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

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

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

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