a-(1/a)

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Solution for a-(1/a) equation:


D( a )

a = 0

a = 0

a = 0

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

a-(1/a) = 0

a-a^-1 = 0

1*a^1-1*a^-1 = 0

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

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

a^1

a^2-1 = 0

a^2-1 = 0

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

DELTA = 4

DELTA > 0

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

a = 1 or a = -1

a in { -1, 1}

a in { -1, 1 }

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