3/x-3=5/2x-1

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

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

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

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

DELTA = 34

DELTA > 0

x = (34^(1/2)+2)/(2*(-5/2)) or x = (2-34^(1/2))/(2*(-5/2))

x = (34^(1/2)+2)/(-5) or x = (2-34^(1/2))/(-5)

x in { (34^(1/2)+2)/(-5), (2-34^(1/2))/(-5)}

x in { (34^(1/2)+2)/(-5), (2-34^(1/2))/(-5) }

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