5/6x=9/x-2

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Solution for 5/6x=9/x-2 equation:


D( x )

x = 0

x = 0

x = 0

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

(5/6)*x = 9/x-2 // - 9/x-2

(5/6)*x-(9/x)+2 = 0

(5/6)*x-9*x^-1+2 = 0

5/6*x^1-9*x^-1+2*x^0 = 0

(5/6*x^2+2*x^1-9*x^0)/(x^1) = 0 // * x^2

x^1*(5/6*x^2+2*x^1-9*x^0) = 0

x^1

(5/6)*x^2+2*x-9 = 0

(5/6)*x^2+2*x-9 = 0

DELTA = 2^2-(-9*4*(5/6))

DELTA = 34

DELTA > 0

x = (34^(1/2)-2)/(2*(5/6)) or x = (-34^(1/2)-2)/(2*(5/6))

x = 3/5*(34^(1/2)-2) or x = -3/5*(34^(1/2)+2)

x in { -3/5*(34^(1/2)+2), 3/5*(34^(1/2)-2)}

x in { -3/5*(34^(1/2)+2), 3/5*(34^(1/2)-2) }

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