(x+3/x)-(x+4/x+5)=3x

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Solution for (x+3/x)-(x+4/x+5)=3x equation: 


D( x )

x = 0

x = 0

x = 0

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

x-x+3/x-(4/x)-5 = 3*x // - 3*x

x-x-(3*x)+3/x-(4/x)-5 = 0

x-x-3*x+3/x-4*x^-1-5 = 0

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

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

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

x^1

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

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

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

DELTA = 13

DELTA > 0

x = (13^(1/2)+5)/(-3*2) or x = (5-13^(1/2))/(-3*2)

x = (13^(1/2)+5)/(-6) or x = (5-13^(1/2))/(-6)

x in { (13^(1/2)+5)/(-6), (5-13^(1/2))/(-6)} 

x in { (13^(1/2)+5)/(-6), (5-13^(1/2))/(-6) }

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