13w=26/w+5

Solution for 13w=26/w+5 equation:

D( w )

w = 0

w = 0

w = 0

w in (-oo:0) U (0:+oo)

13*w = 26/w+5 // - 26/w+5

13*w-(26/w)-5 = 0

13*w-26*w^-1-5 = 0

13*w^1-26*w^-1-5*w^0 = 0

(13*w^2-5*w^1-26*w^0)/(w^1) = 0 // * w^2

w^1*(13*w^2-5*w^1-26*w^0) = 0

w^1

13*w^2-5*w-26 = 0

13*w^2-5*w-26 = 0

DELTA = (-5)^2-(-26*4*13)

DELTA = 1377

DELTA > 0

w = (1377^(1/2)+5)/(2*13) or w = (5-1377^(1/2))/(2*13)

w = (9*17^(1/2)+5)/26 or w = (5-9*17^(1/2))/26

w in { (5-9*17^(1/2))/26, (9*17^(1/2)+5)/26} 

w in { (5-9*17^(1/2))/26, (9*17^(1/2)+5)/26 }