3/x-1=x-6/2

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Solution for 3/x-1=x-6/2 equation: 


D( x )

x = 0

x = 0

x = 0

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

3/x-1 = x-(6/2) // - x-(6/2)

3/x-x+6/2-1 = 0

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

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

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

x^1

2*x-x^2+3 = 0

2*x-x^2+3 = 0

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

DELTA = 16

DELTA > 0

x = (16^(1/2)-2)/(-1*2) or x = (-16^(1/2)-2)/(-1*2)

x = -1 or x = 3

x in { -1, 3} 

x in { -1, 3 }

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