9/3x-2=8/x

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Solution for 9/3x-2=8/x equation: 


D( x )

x = 0

x = 0

x = 0

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

(9/3)*x-2 = 8/x // - 8/x

(9/3)*x-(8/x)-2 = 0

(9/3)*x-8*x^-1-2 = 0

3*x^1-8*x^-1-2*x^0 = 0

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

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

x^1

3*x^2-2*x-8 = 0

3*x^2-2*x-8 = 0

DELTA = (-2)^2-(-8*3*4)

DELTA = 100

DELTA > 0

x = (100^(1/2)+2)/(2*3) or x = (2-100^(1/2))/(2*3)

x = 2 or x = -4/3

x in { -4/3, 2} 

x in { -4/3, 2 }

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