3y+15=1250/y

Solution for 3y+15=1250/y equation:

D( y )

y = 0

y = 0

y = 0

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

3*y+15 = 1250/y // - 1250/y

3*y-(1250/y)+15 = 0

3*y-1250*y^-1+15 = 0

3*y^1-1250*y^-1+15*y^0 = 0

(3*y^2+15*y^1-1250*y^0)/(y^1) = 0 // * y^2

y^1*(3*y^2+15*y^1-1250*y^0) = 0

y^1

3*y^2+15*y-1250 = 0

3*y^2+15*y-1250 = 0

DELTA = 15^2-(-1250*3*4)

DELTA = 15225

DELTA > 0

y = (15225^(1/2)-15)/(2*3) or y = (-15225^(1/2)-15)/(2*3)

y = (5*609^(1/2)-15)/6 or y = (-5*609^(1/2)-15)/6

y in { (-5*609^(1/2)-15)/6, (5*609^(1/2)-15)/6} 

y in { (-5*609^(1/2)-15)/6, (5*609^(1/2)-15)/6 }