x-(50/x)5

Solution for x-(50/x)5 equation:

D( x )

x = 0

x = 0

x = 0

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

x-(50/x) < 5 // - 5

x-(50/x)-5 < 0

x-50*x^-1-5 < 0

x-50*x^-1-5 = 0

1*x^1-50*x^-1-5*x^0 = 0

(1*x^2-5*x^1-50*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2-5*x^1-50*x^0) = 0

x^1

x^2-5*x-50 = 0

x^2-5*x-50 = 0

DELTA = (-5)^2-(-50*1*4)

DELTA = 225

DELTA > 0

x = (225^(1/2)+5)/(1*2) or x = (5-225^(1/2))/(1*2)

x = 10 or x = -5

x in { -5, 10} 

(x+5)*(x-10) < 0

	(-oo:-5)	(-5:10)	(10:+oo)
x+5	-	+	+
x-10	-	-	+


x in (-5:0) U (0:10)

(-5:0) U (0:10)