x-70/x-3

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Solution for x-70/x-3 equation: 


D( x )

x = 0

x = 0

x = 0

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

x-(70/x) < -3 // + 3

x-(70/x)+3 < 0

x-70*x^-1+3 < 0

x-70*x^-1+3 = 0

1*x^1-70*x^-1+3*x^0 = 0

(1*x^2+3*x^1-70*x^0)/(x^1) = 0 // * x^2

x^1*(1*x^2+3*x^1-70*x^0) = 0

x^1

x^2+3*x-70 = 0

x^2+3*x-70 = 0

DELTA = 3^2-(-70*1*4)

DELTA = 289

DELTA > 0

x = (289^(1/2)-3)/(1*2) or x = (-289^(1/2)-3)/(1*2)

x = 7 or x = -10

x in { -10, 7} 

(x+10)*(x-7) < 0

	(-oo:-10)	(-10:7)	(7:+oo)
x+10	-	+	+
x-7	-	-	+


x in (-10:0) U (0:7)

(-10:0) U (0:7)

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