2a-4/a-2

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Solution for 2a-4/a-2 equation:


D( a )

a = 0

a = 0

a = 0

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

2*a-(4/a)-2 = 0

2*a-4*a^-1-2 = 0

2*a^1-4*a^-1-2*a^0 = 0

(2*a^2-2*a^1-4*a^0)/(a^1) = 0 // * a^2

a^1*(2*a^2-2*a^1-4*a^0) = 0

a^1

2*a^2-2*a-4 = 0

2*a^2-2*a-4 = 0

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

DELTA = 36

DELTA > 0

a = (36^(1/2)+2)/(2*2) or a = (2-36^(1/2))/(2*2)

a = 2 or a = -1

a in { -1, 2}

a in { -1, 2 }

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