3/5x-1/x-2

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

x^1

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

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

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

DELTA = 32/5

DELTA > 0

x = ((32/5)^(1/2)+2)/(2*(3/5)) or x = (2-(32/5)^(1/2))/(2*(3/5))

x = 5/6*((32/5)^(1/2)+2) or x = 5/6*(2-(32/5)^(1/2))

x in { 5/6*(2-(32/5)^(1/2)), 5/6*((32/5)^(1/2)+2)}

x in { 5/6*(2-(32/5)^(1/2)), 5/6*((32/5)^(1/2)+2) }

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