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

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


D( a )

a-1 = 0

a^2-1 = 0

a-1 = 0

a-1 = 0

a-1 = 0 // + 1

a = 1

a^2-1 = 0

a^2-1 = 0

1*a^2 = 1 // : 1

a^2 = 1

a^2 = 1 // ^ 1/2

abs(a) = 1

a = 1 or a = -1

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

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

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

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

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

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

a^3-3*a+2 = 0

a^3-3*a+2 = 0

a^3-3*a+2 = 0

{ 1, -1, 2, -2 }

1

a = 1

a^3-3*a+2 = 0

1

a-1

a^2+a-2

a^3-3*a+2

a-1

a^2-a^3

a^2-3*a+2

a-a^2

2-2*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 in { -2, 1, 1}

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

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

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

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

( a+2 )

a+2 = 0 // - 2

a = -2

( a-1 )

a-1 = 0 // + 1

a = 1

a in { 1}

a = -2

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