1/(w-1)=-6+(6/(w+1))

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Solution for 1/(w-1)=-6+(6/(w+1)) equation: 


D( w )

w+1 = 0

w-1 = 0

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)

1/(w-1) = 6/(w+1)-6 // - 6/(w+1)-6

1/(w-1)-(6/(w+1))+6 = 0

1/(w-1)-6*(w+1)^-1+6 = 0

1/(w-1)-6/(w+1)+6 = 0

(1*(w+1))/((w-1)*(w+1))+(-6*(w-1))/((w-1)*(w+1))+(6*(w-1)*(w+1))/((w-1)*(w+1)) = 0

1*(w+1)-6*(w-1)+6*(w-1)*(w+1) = 0

6*w^2-5*w-6+7 = 0

6*w^2-5*w+1 = 0

6*w^2-5*w+1 = 0

6*w^2-5*w+1 = 0

DELTA = (-5)^2-(1*4*6)

DELTA = 1

DELTA > 0

w = (1^(1/2)+5)/(2*6) or w = (5-1^(1/2))/(2*6)

w = 1/2 or w = 1/3

(w-1/3)*(w-1/2) = 0

((w-1/3)*(w-1/2))/((w-1)*(w+1)) = 0

((w-1/3)*(w-1/2))/((w-1)*(w+1)) = 0 // * (w-1)*(w+1)

(w-1/3)*(w-1/2) = 0

( w-1/2 )

w-1/2 = 0 // + 1/2

w = 1/2

( w-1/3 )

w-1/3 = 0 // + 1/3

w = 1/3

w in { 1/2, 1/3 }

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