x-2/x=11/12-11/4x

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Solution for x-2/x=11/12-11/4x equation:


D( x )

x = 0

x = 0

x = 0

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

x-(2/x) = 11/12-((11/4)*x) // - 11/12-((11/4)*x)

x+(11/4)*x-(2/x)-(11/12) = 0

x+(11/4)*x-2*x^-1-11/12 = 0

15/4*x^1-2*x^-1-11/12*x^0 = 0

(15/4*x^2-11/12*x^1-2*x^0)/(x^1) = 0 // * x^2

x^1*(15/4*x^2-11/12*x^1-2*x^0) = 0

x^1

(15/4)*x^2+(-11/12)*x-2 = 0

(15/4)*x^2+(-11/12)*x-2 = 0

DELTA = (-11/12)^2-(-2*4*(15/4))

DELTA = 4441/144

DELTA > 0

x = ((4441/144)^(1/2)-(-11/12))/(2*(15/4)) or x = (-(-11/12)-(4441/144)^(1/2))/(2*(15/4))

x = 2/15*((4441/144)^(1/2)+11/12) or x = 2/15*(11/12-(4441/144)^(1/2))

x in { 2/15*(11/12-(4441/144)^(1/2)), 2/15*((4441/144)^(1/2)+11/12)}

x in { 2/15*(11/12-(4441/144)^(1/2)), 2/15*((4441/144)^(1/2)+11/12) }

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