(1-2a^-1-3a^-2)/(1+a^-1)

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Solution for (1-2a^-1-3a^-2)/(1+a^-1) equation:


D( a )

a = 0

a^-1+1 = 0

a = 0

a = 0

a^-1+1 = 0

a^-1+1 = 0

1*a^-1 = -1 // : 1

a^-1 = -1

-1 < 0

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

1 = -1*a^1 // : -1

-1 = a^1

a = -1

a in (-oo:-1) U (-1:0) U (0:+oo)

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

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

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

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

(1*a^2-2*a^1-3*a^0)/(a^2) = 0 // * a^4

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

a^2

a^2-2*a-3 = 0

a^2-2*a-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

a = (16^(1/2)+2)/(1*2) or a = (2-16^(1/2))/(1*2)

a = 3 or a = -1

a in { -1, 3}

(a+1)*(a-3) = 0

((a+1)*(a-3))/(a^-1+1) = 0

( a+1 )

a+1 = 0 // - 1

a = -1

( a-3 )

a-3 = 0 // + 3

a = 3

a in { -1}

a = 3

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