(4/x)-(1/3x)=2

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Solution for (4/x)-(1/3x)=2 equation:


D( x )

x = 0

x = 0

x = 0

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

4/x-((1/3)*x) = 2 // - 2

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

(-1/3)*x+4/x-2 = 0

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

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

x^1*(4*x^0-1/3*x^2-2*x^1) = 0

x^1

(-1/3)*x^2-2*x+4 = 0

(-1/3)*x^2-2*x+4 = 0

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

DELTA = 28/3

DELTA > 0

x = ((28/3)^(1/2)+2)/(2*(-1/3)) or x = (2-(28/3)^(1/2))/(2*(-1/3))

x = -3/2*((28/3)^(1/2)+2) or x = -3/2*(2-(28/3)^(1/2))

x in { -3/2*((28/3)^(1/2)+2), -3/2*(2-(28/3)^(1/2))}

x in { -3/2*((28/3)^(1/2)+2), -3/2*(2-(28/3)^(1/2)) }

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