(3a^2-8a+4)/(3a-2)

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Solution for (3a^2-8a+4)/(3a-2) equation: 


D( a )

3*a-2 = 0

3*a-2 = 0

3*a-2 = 0

3*a-2 = 0 // + 2

3*a = 2 // : 3

a = 2/3

a in (-oo:2/3) U (2/3:+oo)

(3*a^2-(8*a)+4)/(3*a-2) = 0

(3*a^2-8*a+4)/(3*a-2) = 0

3*a^2-8*a+4 = 0

3*a^2-8*a+4 = 0

DELTA = (-8)^2-(3*4*4)

DELTA = 16

DELTA > 0

a = (16^(1/2)+8)/(2*3) or a = (8-16^(1/2))/(2*3)

a = 2 or a = 2/3

(a-2/3)*(a-2) = 0

((a-2/3)*(a-2))/(3*a-2) = 0

( a-2/3 )

a-2/3 = 0 // + 2/3

a = 2/3

( a-2 )

a-2 = 0 // + 2

a = 2

a in { 2/3} 

a = 2

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