24x-216/x-6

Solution for 24x-216/x-6 equation:

D( x )

x = 0

x = 0

x = 0

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

24*x-(216/x)-6 = 0

24*x-216*x^-1-6 = 0

24*x^1-216*x^-1-6*x^0 = 0

(24*x^2-6*x^1-216*x^0)/(x^1) = 0 // * x^2

x^1*(24*x^2-6*x^1-216*x^0) = 0

x^1

24*x^2-6*x-216 = 0

24*x^2-6*x-216 = 0

DELTA = (-6)^2-(-216*4*24)

DELTA = 20772

DELTA > 0

x = (20772^(1/2)+6)/(2*24) or x = (6-20772^(1/2))/(2*24)

x = (6*577^(1/2)+6)/48 or x = (6-6*577^(1/2))/48

x in { (6-6*577^(1/2))/48, (6*577^(1/2)+6)/48} 

x in { (6-6*577^(1/2))/48, (6*577^(1/2)+6)/48 }