(2)/(w+1)+(w+2)/(w^2-1)+(1)/(w-1)

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


D( w )

w^2-1 = 0

w+1 = 0

w-1 = 0

w^2-1 = 0

w^2-1 = 0

1*w^2 = 1 // : 1

w^2 = 1

w^2 = 1 // ^ 1/2

abs(w) = 1

w = 1 or w = -1

w+1 = 0

w+1 = 0

w+1 = 0 // - 1

w = -1

w-1 = 0

w-1 = 0

w-1 = 0 // + 1

w = 1

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

2/(w+1)+(w+2)/(w^2-1)+1/(w-1) = 0

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

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

3*w^3+w^3+w^2-3*w-w-1 = 0

4*w^3+w^2-4*w-1 = 0

4*w^3+w^2-4*w-1 = 0

4*w^3+w^2-4*w-1

4*w*(w^2-1)+w^2-1

(4*w+1)*(w^2-1)

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

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

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

( 4*w+1 )

4*w+1 = 0 // - 1

4*w = -1 // : 4

w = -1/4

( w^2-1 )

1*w^2 = 1 // : 1

w^2 = 1

w^2 = 1 // ^ 1/2

abs(w) = 1

w = 1 or w = -1

w in { 1}

w in { -1}

w = -1/4

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