(w-1)/(w-3)=((w+5)/(w-7))+1

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Solution for (w-1)/(w-3)=((w+5)/(w-7))+1 equation:


D( w )

w-3 = 0

w-7 = 0

w-3 = 0

w-3 = 0

w-3 = 0 // + 3

w = 3

w-7 = 0

w-7 = 0

w-7 = 0 // + 7

w = 7

w in (-oo:3) U (3:7) U (7:+oo)

(w-1)/(w-3) = (w+5)/(w-7)+1 // - (w+5)/(w-7)+1

(w-1)/(w-3)-((w+5)/(w-7))-1 = 0

(w-1)/(w-3)+(-1*(w+5))/(w-7)-1 = 0

((w-1)*(w-7))/((w-3)*(w-7))+(-1*(w+5)*(w-3))/((w-3)*(w-7))+(-1*(w-3)*(w-7))/((w-3)*(w-7)) = 0

(w-1)*(w-7)-1*(w+5)*(w-3)-1*(w-3)*(w-7) = 0

10*w-w^2-10*w-21+22 = 0

1-w^2 = 0

(1-w^2)/((w-3)*(w-7)) = 0

(1-w^2)/((w-3)*(w-7)) = 0 // * (w-3)*(w-7)

1-w^2 = 0

-1*w^2 = -1 // : -1

w^2 = 1

w^2 = 1 // ^ 1/2

abs(w) = 1

w = 1 or w = -1

w in { 1, -1 }

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