11/x-2=3x

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Solution for 11/x-2=3x equation:


D( x )

x = 0

x = 0

x = 0

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

11/x-2 = 3*x // - 3*x

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

11/x-3*x-2 = 0

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

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

x^1*(11*x^0-3*x^2-2*x^1) = 0

x^1

11-3*x^2-2*x = 0

11-3*x^2-2*x = 0

DELTA = (-2)^2-(-3*4*11)

DELTA = 136

DELTA > 0

x = (136^(1/2)+2)/(-3*2) or x = (2-136^(1/2))/(-3*2)

x = (2*34^(1/2)+2)/(-6) or x = (2-2*34^(1/2))/(-6)

x in { (2*34^(1/2)+2)/(-6), (2-2*34^(1/2))/(-6)}

x in { (2*34^(1/2)+2)/(-6), (2-2*34^(1/2))/(-6) }

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