h/h2-6h+9

Solution for h/h2-6h+9 equation:

D( h )

h^2 = 0

h^2 = 0

h^2 = 0

1*h^2 = 0 // : 1

h^2 = 0

h = 0

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

h/(h^2)-(6*h)+9 = 0

h/(h^2)-6*h+9 = 0

1*h^-1-6*h^1+9*h^0 = 0

(9*h^1-6*h^2+1*h^0)/(h^1) = 0 // * h^2

h^1*(9*h^1-6*h^2+1*h^0) = 0

h^1

9*h-6*h^2+1 = 0

9*h-6*h^2+1 = 0

DELTA = 9^2-(-6*1*4)

DELTA = 105

DELTA > 0

h = (105^(1/2)-9)/(-6*2) or h = (-105^(1/2)-9)/(-6*2)

h = (105^(1/2)-9)/(-12) or h = (105^(1/2)+9)/12

h in { (105^(1/2)-9)/(-12), (105^(1/2)+9)/12} 

h in { (105^(1/2)-9)/(-12), (105^(1/2)+9)/12 }