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

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


D( x )

x = 0

x = 0

x = 0

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

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

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

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

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

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

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

x^1

3*x^2-3*x-3 = 0

3*x^2-3*x-3 = 0

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

DELTA = 45

DELTA > 0

x = (45^(1/2)+3)/(2*3) or x = (3-45^(1/2))/(2*3)

x = (3*5^(1/2)+3)/6 or x = (3-3*5^(1/2))/6

x in { (3-3*5^(1/2))/6, (3*5^(1/2)+3)/6}

x in { (3-3*5^(1/2))/6, (3*5^(1/2)+3)/6 }

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