2/x-x/3=5/6

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Solution for 2/x-x/3=5/6 equation:


D( x )

x = 0

x = 0

x = 0

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

2/x-(x/3) = 5/6 // - 5/6

2/x-(x/3)-(5/6) = 0

2/x-(x/3)-5/6 = 0

2*x^-1-1/3*x^1-5/6*x^0 = 0

(2*x^0-1/3*x^2-5/6*x^1)/(x^1) = 0 // * x^2

x^1*(2*x^0-1/3*x^2-5/6*x^1) = 0

x^1

(-1/3)*x^2+(-5/6)*x+2 = 0

(-1/3)*x^2+(-5/6)*x+2 = 0

DELTA = (-5/6)^2-(2*4*(-1/3))

DELTA = 121/36

DELTA > 0

x = ((121/36)^(1/2)-(-5/6))/(2*(-1/3)) or x = (-(-5/6)-(121/36)^(1/2))/(2*(-1/3))

x = -4 or x = 3/2

x in { -4, 3/2}

x in { -4, 3/2 }

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