(4a-2)/(2a^2-a)

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Solution for (4a-2)/(2a^2-a) equation: 


D( a )

2*a^2-a = 0

2*a^2-a = 0

2*a^2-a = 0

2*a^2-a = 0

DELTA = (-1)^2-(0*2*4)

DELTA = 1

DELTA > 0

a = (1^(1/2)+1)/(2*2) or a = (1-1^(1/2))/(2*2)

a = 1/2 or a = 0

a in (-oo:0) U (0:1/2) U (1/2:+oo)

(4*a-2)/(2*a^2-a) = 0

2*a^2-a = 0

a*(2*a-1) = 0

2*a-1 = 0 // + 1

2*a = 1 // : 2

a = 1/2

a*(a-1/2) = 0

(4*a-2)/(a*(a-1/2)) = 0

4*a-2 = 0 // + 2

4*a = 2 // : 4

a = 2/4

a = 1/2

a in { 1/2} 

a belongs to the empty set

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