(2x-1)/(2x^2-2x)

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Solution for (2x-1)/(2x^2-2x) equation: 


D( x )

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

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

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

2*x^2-2*x = 0

2*x^2-2*x = 0

DELTA = (-2)^2-(0*2*4)

DELTA = 4

DELTA > 0

x = (4^(1/2)+2)/(2*2) or x = (2-4^(1/2))/(2*2)

x = 1 or x = 0

x in (-oo:0) U (0:1) U (1:+oo)

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

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

2*x^2-2*x = 0

2*x*(x-1) = 0

x-1 = 0 // + 1

x = 1

2*x*(x-1) = 0

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

2*x-1 = 0 // + 1

2*x = 1 // : 2

x = 1/2

x = 1/2

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