x/x+2/x=x/3+4/3

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Solution for x/x+2/x=x/3+4/3 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x+x/x = x/3+4/3 // - x/3+4/3

2/x-(x/3)+x/x-(4/3) = 0

2/x-(x/3)+x/x-4/3 = 0

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

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

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

x^1

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

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

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

DELTA = 25/9

DELTA > 0

x = ((25/9)^(1/2)-(-1/3))/(2*(-1/3)) or x = (-(-1/3)-(25/9)^(1/2))/(2*(-1/3))

x = -3 or x = 2

x in { -3, 2}

x in { -3, 2 }

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