10y+3/y=54+10*3/y+y

Solution for 10y+3/y=54+10*3/y+y equation:

D( y )

y = 0

y = 0

y = 0

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

10*y+3/y = y+(3*10)/y+54 // - y+(3*10)/y+54

10*y-y+3/y-((3*10)/y)-54 = 0

10*y-y+3/y-30*y^-1-54 = 0

9*y^1-27*y^-1-54*y^0 = 0

(9*y^2-54*y^1-27*y^0)/(y^1) = 0 // * y^2

y^1*(9*y^2-54*y^1-27*y^0) = 0

y^1

9*y^2-54*y-27 = 0

9*y^2-54*y-27 = 0

DELTA = (-54)^2-(-27*4*9)

DELTA = 3888

DELTA > 0

y = (3888^(1/2)+54)/(2*9) or y = (54-3888^(1/2))/(2*9)

y = (36*3^(1/2)+54)/18 or y = (54-36*3^(1/2))/18

y in { (54-36*3^(1/2))/18, (36*3^(1/2)+54)/18} 

y in { (54-36*3^(1/2))/18, (36*3^(1/2)+54)/18 }