3x-5-3a-5/x-a

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Solution for 3x-5-3a-5/x-a equation: 


D( x )

x = 0

x = 0

x = 0

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

3*x-(3*a)-a-(5/x)-5 = 0

3*x-3*a-a-5*x^-1-5 = 0

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

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

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

x^1

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

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

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

DELTA = 85

DELTA > 0

x = (85^(1/2)+5)/(2*3) or x = (5-85^(1/2))/(2*3)

x = (85^(1/2)+5)/6 or x = (5-85^(1/2))/6

x in { (5-85^(1/2))/6, (85^(1/2)+5)/6} 

x in { (5-85^(1/2))/6, (85^(1/2)+5)/6 }

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