14/y=(53-y)/14

Solution for 14/y=(53-y)/14 equation:

D( y )

y = 0

y = 0

y = 0

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

14/y = (53-y)/14 // - (53-y)/14

14/y-((53-y)/14) = 0

(-1*(53-y))/14+14/y = 0

(-1*y*(53-y))/(14*y)+(14^2)/(14*y) = 0

196-1*y*(53-y) = 0

y^2-53*y+196 = 0

y^2-53*y+196 = 0

y^2-53*y+196 = 0

DELTA = (-53)^2-(1*4*196)

DELTA = 2025

DELTA > 0

y = (2025^(1/2)+53)/(1*2) or y = (53-2025^(1/2))/(1*2)

y = 49 or y = 4

(y-4)*(y-49) = 0

((y-4)*(y-49))/(14*y) = 0

((y-4)*(y-49))/(14*y) = 0 // * 14*y

(y-4)*(y-49) = 0

( y-4 )

y-4 = 0 // + 4

y = 4

( y-49 )

y-49 = 0 // + 49

y = 49

y in { 4, 49 }