1/3x+2/x=8/x-1

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Solution for 1/3x+2/x=8/x-1 equation: 


D( x )

x = 0

x = 0

x = 0

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

(1/3)*x+2/x = 8/x-1 // - 8/x-1

(1/3)*x+2/x-(8/x)+1 = 0

(1/3)*x+2/x-8*x^-1+1 = 0

1/3*x^1-6*x^-1+1*x^0 = 0

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

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

x^1

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

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

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

DELTA = 9

DELTA > 0

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

x = 3 or x = -6

x in { -6, 3} 

x in { -6, 3 }

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