x+0.3(500)/x+500

Solution for x+0.3(500)/x+500 equation:

D( x )

x = 0

x = 0

x = 0

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

x+(0.3*500)/x+500 = 0

1*x^1+150*x^-1+500*x^0 = 0

(1*x^2+500*x^1+150*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+500*x^1+150*x^0) = 0

x^1

x^2+500*x+150 = 0

x^2+500*x+150 = 0

DELTA = 500^2-(1*4*150)

DELTA = 249400

DELTA > 0

x = (249400^(1/2)-500)/(1*2) or x = (-249400^(1/2)-500)/(1*2)

x = (10*2494^(1/2)-500)/2 or x = (-10*2494^(1/2)-500)/2

x in { (-10*2494^(1/2)-500)/2, (10*2494^(1/2)-500)/2} 

x in { (-10*2494^(1/2)-500)/2, (10*2494^(1/2)-500)/2 }