6/x-1=2x

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Solution for 6/x-1=2x equation: 


D( x )

x = 0

x = 0

x = 0

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

6/x-1 = 2*x // - 2*x

6/x-(2*x)-1 = 0

6/x-2*x-1 = 0

6*x^-1-2*x^1-1*x^0 = 0

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

x^1*(6*x^0-2*x^2-1*x^1) = 0

x^1

6-2*x^2-x = 0

6-2*x^2-x = 0

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

DELTA = 49

DELTA > 0

x = (49^(1/2)+1)/(-2*2) or x = (1-49^(1/2))/(-2*2)

x = -2 or x = 3/2

x in { -2, 3/2} 

x in { -2, 3/2 }

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