2/x-35/3x-2

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Solution for 2/x-35/3x-2 equation: 


D( x )

x = 0

x = 0

x = 0

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

2/x-3 > (5/3)*x-2 // - (5/3)*x-2

2/x-((5/3)*x)-3+2 > 0

(-5/3)*x+2/x-3+2 > 0

(-5/3)*x+2/x-3+2 = 0

2*x^-1-5/3*x^1-1*x^0 = 0

(2*x^0-5/3*x^2-1*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-5/3*x^2-1*x^1) = 0

x^1

(-5/3)*x^2-x+2 = 0

(-5/3)*x^2-x+2 = 0

DELTA = (-1)^2-(2*4*(-5/3))

DELTA = 43/3

DELTA > 0

x = ((43/3)^(1/2)+1)/(2*(-5/3)) or x = (1-(43/3)^(1/2))/(2*(-5/3))

x = -3/10*((43/3)^(1/2)+1) or x = -3/10*(1-(43/3)^(1/2))

x in { -3/10*((43/3)^(1/2)+1), -3/10*(1-(43/3)^(1/2))} 

(x+3/10*((43/3)^(1/2)+1))*(x+3/10*(1-(43/3)^(1/2))) > 0

	(-oo:-3/10*((43/3)^(1/2)+1))	(-3/10*((43/3)^(1/2)+1):-3/10*(1-(43/3)^(1/2)))	(-3/10*(1-(43/3)^(1/2)):+oo)
x+3/10*((43/3)^(1/2)+1)	-	+	+
x+3/10*(1-(43/3)^(1/2))	-	-	+


x in (-oo:-3/10*((43/3)^(1/2)+1)) U (-3/10*(1-(43/3)^(1/2)):+oo)

(-oo:-3/10*((43/3)^(1/2)+1)) U (-3/10*(1-(43/3)^(1/2)):+oo)

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