6+6/(u+3)=5/(u+1)

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Solution for 6+6/(u+3)=5/(u+1) equation: 


D( u )

u+1 = 0

u+3 = 0

u+1 = 0

u+1 = 0

u+1 = 0 // - 1

u = -1

u+3 = 0

u+3 = 0

u+3 = 0 // - 3

u = -3

u in (-oo:-3) U (-3:-1) U (-1:+oo)

6/(u+3)+6 = 5/(u+1) // - 5/(u+1)

6/(u+3)-(5/(u+1))+6 = 0

6/(u+3)-5*(u+1)^-1+6 = 0

6/(u+3)-5/(u+1)+6 = 0

(6*(u+1))/((u+3)*(u+1))+(-5*(u+3))/((u+3)*(u+1))+(6*(u+3)*(u+1))/((u+3)*(u+1)) = 0

6*(u+1)-5*(u+3)+6*(u+3)*(u+1) = 0

6*u^2+u+24*u-9+18 = 0

6*u^2+25*u+9 = 0

6*u^2+25*u+9 = 0

6*u^2+25*u+9 = 0

DELTA = 25^2-(4*6*9)

DELTA = 409

DELTA > 0

u = (409^(1/2)-25)/(2*6) or u = (-409^(1/2)-25)/(2*6)

u = (409^(1/2)-25)/12 or u = (-(409^(1/2)+25))/12

(u+(409^(1/2)+25)/12)*(u-((409^(1/2)-25)/12)) = 0

((u+(409^(1/2)+25)/12)*(u-((409^(1/2)-25)/12)))/((u+3)*(u+1)) = 0

((u+(409^(1/2)+25)/12)*(u-((409^(1/2)-25)/12)))/((u+3)*(u+1)) = 0 // * (u+3)*(u+1)

(u+(409^(1/2)+25)/12)*(u-((409^(1/2)-25)/12)) = 0

( u+(409^(1/2)+25)/12 )

u+(409^(1/2)+25)/12 = 0 // - (409^(1/2)+25)/12

u = -((409^(1/2)+25)/12)

( u-((409^(1/2)-25)/12) )

u-((409^(1/2)-25)/12) = 0 // + (409^(1/2)-25)/12

u = (409^(1/2)-25)/12

u in { -((409^(1/2)+25)/12), (409^(1/2)-25)/12 }

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