x/3-1/x-3

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


D( x )

x = 0

x = 0

x = 0

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

x/3-(1/x)-3 = 0

x/3-x^-1-3 = 0

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

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

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

x^1

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

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

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

DELTA = 31/3

DELTA > 0

x = ((31/3)^(1/2)+3)/(2*(1/3)) or x = (3-(31/3)^(1/2))/(2*(1/3))

x = 3/2*((31/3)^(1/2)+3) or x = 3/2*(3-(31/3)^(1/2))

x in { 3/2*(3-(31/3)^(1/2)), 3/2*((31/3)^(1/2)+3)}

x in { 3/2*(3-(31/3)^(1/2)), 3/2*((31/3)^(1/2)+3) }

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