3/x=18/5x+2

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Solution for 3/x=18/5x+2 equation:


D( x )

x = 0

x = 0

x = 0

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

3/x = (18/5)*x+2 // - (18/5)*x+2

3/x-((18/5)*x)-2 = 0

(-18/5)*x+3/x-2 = 0

3*x^-1-18/5*x^1-2*x^0 = 0

(3*x^0-18/5*x^2-2*x^1)/(x^1) = 0 // * x^2

x^1*(3*x^0-18/5*x^2-2*x^1) = 0

x^1

(-18/5)*x^2-2*x+3 = 0

(-18/5)*x^2-2*x+3 = 0

DELTA = (-2)^2-(3*4*(-18/5))

DELTA = 236/5

DELTA > 0

x = ((236/5)^(1/2)+2)/(2*(-18/5)) or x = (2-(236/5)^(1/2))/(2*(-18/5))

x = -5/36*((236/5)^(1/2)+2) or x = -5/36*(2-(236/5)^(1/2))

x in { -5/36*((236/5)^(1/2)+2), -5/36*(2-(236/5)^(1/2))}

x in { -5/36*((236/5)^(1/2)+2), -5/36*(2-(236/5)^(1/2)) }

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