10/x=x+2/x+14

Solution for 10/x=x+2/x+14 equation:

D( x )

x = 0

x = 0

x = 0

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

10/x = x+2/x+14 // - x+2/x+14

10/x-x-(2/x)-14 = 0

10/x-x-2*x^-1-14 = 0

8*x^-1-1*x^1-14*x^0 = 0

(8*x^0-1*x^2-14*x^1)/(x^1) = 0 // * x^2

x^1*(8*x^0-1*x^2-14*x^1) = 0

x^1

8-x^2-14*x = 0

8-x^2-14*x = 0

DELTA = (-14)^2-(-1*4*8)

DELTA = 228

DELTA > 0

x = (228^(1/2)+14)/(-1*2) or x = (14-228^(1/2))/(-1*2)

x = (2*57^(1/2)+14)/(-2) or x = (14-2*57^(1/2))/(-2)

x in { (2*57^(1/2)+14)/(-2), (14-2*57^(1/2))/(-2)} 

x in { (2*57^(1/2)+14)/(-2), (14-2*57^(1/2))/(-2) }