3a-6/a-2

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Solution for 3a-6/a-2 equation: 


D( a )

a = 0

a = 0

a = 0

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

3*a-(6/a)-2 = 0

3*a-6*a^-1-2 = 0

3*a^1-6*a^-1-2*a^0 = 0

(3*a^2-2*a^1-6*a^0)/(a^1) = 0 // * a^2

a^1*(3*a^2-2*a^1-6*a^0) = 0

a^1

3*a^2-2*a-6 = 0

3*a^2-2*a-6 = 0

DELTA = (-2)^2-(-6*3*4)

DELTA = 76

DELTA > 0

a = (76^(1/2)+2)/(2*3) or a = (2-76^(1/2))/(2*3)

a = (2*19^(1/2)+2)/6 or a = (2-2*19^(1/2))/6

a in { (2-2*19^(1/2))/6, (2*19^(1/2)+2)/6} 

a in { (2-2*19^(1/2))/6, (2*19^(1/2)+2)/6 }

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