x=8/x+240

Solution for x=8/x+240 equation:

D( x )

x = 0

x = 0

x = 0

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

x = 8/x+240 // - 8/x+240

x-(8/x)-240 = 0

x-8*x^-1-240 = 0

1*x^1-8*x^-1-240*x^0 = 0

(1*x^2-240*x^1-8*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-240*x^1-8*x^0) = 0

x^1

x^2-240*x-8 = 0

x^2-240*x-8 = 0

DELTA = (-240)^2-(-8*1*4)

DELTA = 57632

DELTA > 0

x = (57632^(1/2)+240)/(1*2) or x = (240-57632^(1/2))/(1*2)

x = (4*3602^(1/2)+240)/2 or x = (240-4*3602^(1/2))/2

x in { (240-4*3602^(1/2))/2, (4*3602^(1/2)+240)/2} 

x in { (240-4*3602^(1/2))/2, (4*3602^(1/2)+240)/2 }