2/3-1/x=5/3x

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Solution for 2/3-1/x=5/3x equation:


D( x )

x = 0

x = 0

x = 0

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

2/3-(1/x) = (5/3)*x // - (5/3)*x

2/3-((5/3)*x)-(1/x) = 0

(-5/3)*x-x^-1+2/3 = 0

2/3*x^0-5/3*x^1-1*x^-1 = 0

(2/3*x^1-5/3*x^2-1*x^0)/(x^1) = 0 // * x^2

x^1*(2/3*x^1-5/3*x^2-1*x^0) = 0

x^1

(-5/3)*x^2+(2/3)*x-1 = 0

(-5/3)*x^2+(2/3)*x-1 = 0

DELTA = (2/3)^2-(-1*4*(-5/3))

DELTA = -56/9

DELTA < 0

x in { }

x belongs to the empty set

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