(2/x-2)-(2x/3)=(x-3/3)

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Solution for (2/x-2)-(2x/3)=(x-3/3) equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-((2*x)/3)-2 = x-(3/3) // - x-(3/3)

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

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

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