(30/3x-6)+1/x-2=11/3

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Solution for (30/3x-6)+1/x-2=11/3 equation:


D( x )

x = 0

x = 0

x = 0

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

(30/3)*x+1/x-6-2 = 11/3 // - 11/3

(30/3)*x+1/x-(11/3)-6-2 = 0

(30/3)*x+1/x-11/3-6-2 = 0

10*x^1+1*x^-1-35/3*x^0 = 0

(10*x^2-35/3*x^1+1*x^0)/(x^1) = 0 // * x^2

x^1*(10*x^2-35/3*x^1+1*x^0) = 0

x^1

10*x^2+(-35/3)*x+1 = 0

10*x^2+(-35/3)*x+1 = 0

DELTA = (-35/3)^2-(1*4*10)

DELTA = 865/9

DELTA > 0

x = ((865/9)^(1/2)-(-35/3))/(2*10) or x = (-(-35/3)-(865/9)^(1/2))/(2*10)

x = ((865/9)^(1/2)+35/3)/20 or x = (35/3-(865/9)^(1/2))/20

x in { (35/3-(865/9)^(1/2))/20, ((865/9)^(1/2)+35/3)/20}

x in { (35/3-(865/9)^(1/2))/20, ((865/9)^(1/2)+35/3)/20 }

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