9h+25-25/h

Solution for 9h+25-25/h equation:

D( h )

h = 0

h = 0

h = 0

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

9*h-(25/h)+25 = 0

9*h-25*h^-1+25 = 0

9*h^1-25*h^-1+25*h^0 = 0

(9*h^2+25*h^1-25*h^0)/(h^1) = 0 // * h^2

h^1*(9*h^2+25*h^1-25*h^0) = 0

h^1

9*h^2+25*h-25 = 0

9*h^2+25*h-25 = 0

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

DELTA = 1525

DELTA > 0

h = (1525^(1/2)-25)/(2*9) or h = (-1525^(1/2)-25)/(2*9)

h = (5*61^(1/2)-25)/18 or h = (-5*61^(1/2)-25)/18

h in { (-5*61^(1/2)-25)/18, (5*61^(1/2)-25)/18} 

h in { (-5*61^(1/2)-25)/18, (5*61^(1/2)-25)/18 }