3/2x=1/x

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

DELTA = 0^2-(-1*4*(3/2))

DELTA = 6

DELTA > 0

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

x = (6^(1/2))/3 or x = (-6^(1/2))/3

x in { (-6^(1/2))/3, (6^(1/2))/3} 

x in { (-6^(1/2))/3, (6^(1/2))/3 }

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