9/x-3=2x

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


D( x )

x = 0

x = 0

x = 0

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

9/x-3 = 2*x // - 2*x

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

9/x-2*x-3 = 0

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

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

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

x^1

9-2*x^2-3*x = 0

9-2*x^2-3*x = 0

DELTA = (-3)^2-(-2*4*9)

DELTA = 81

DELTA > 0

x = (81^(1/2)+3)/(-2*2) or x = (3-81^(1/2))/(-2*2)

x = -3 or x = 3/2

x in { -3, 3/2} 

x in { -3, 3/2 }

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