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

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

x^1*(2*x^1-18/5*x^2+3*x^0) = 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 = (-(236/5)^(1/2)-2)/(2*(-18/5))

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

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

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

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