1/(a+2)+1/(a^2-4)

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Solution for 1/(a+2)+1/(a^2-4) equation: 


D( a )

a+2 = 0

a^2-4 = 0

a+2 = 0

a+2 = 0

a+2 = 0 // - 2

a = -2

a^2-4 = 0

a^2-4 = 0

1*a^2 = 4 // : 1

a^2 = 4

a^2 = 4 // ^ 1/2

abs(a) = 2

a = 2 or a = -2

a in (-oo:-2) U (-2:2) U (2:+oo)

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

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

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

a^2+a-2 = 0

a^2+a-2 = 0

a^2+a-2 = 0

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

DELTA = 9

DELTA > 0

a = (9^(1/2)-1)/(1*2) or a = (-9^(1/2)-1)/(1*2)

a = 1 or a = -2

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

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

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

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

( a+2 )

a+2 = 0 // - 2

a = -2

( a-1 )

a-1 = 0 // + 1

a = 1

a in { -2} 

a = 1

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