25a+5a/a^2-25

Solution for 25a+5a/a^2-25 equation:

D( a )

a^2 = 0

a^2 = 0

a^2 = 0

1*a^2 = 0 // : 1

a^2 = 0

a = 0

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

25*a+(5*a)/(a^2)-25 = 0

25*a^1+5*a^-1-25*a^0 = 0

(25*a^2-25*a^1+5*a^0)/(a^1) = 0 // * a^2

a^1*(25*a^2-25*a^1+5*a^0) = 0

a^1

25*a^2-25*a+5 = 0

25*a^2-25*a+5 = 0

DELTA = (-25)^2-(4*5*25)

DELTA = 125

DELTA > 0

a = (125^(1/2)+25)/(2*25) or a = (25-125^(1/2))/(2*25)

a = (5*5^(1/2)+25)/50 or a = (25-5*5^(1/2))/50

a in { (25-5*5^(1/2))/50, (5*5^(1/2)+25)/50} 

a in { (25-5*5^(1/2))/50, (5*5^(1/2)+25)/50 }