(2a^2-16a+32)/(24a-6a^2)

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Solution for (2a^2-16a+32)/(24a-6a^2) equation:


D( a )

24*a-(6*a^2) = 0

24*a-(6*a^2) = 0

24*a-(6*a^2) = 0

24*a-6*a^2 = 0

24*a-6*a^2 = 0

DELTA = 24^2-(-6*0*4)

DELTA = 576

DELTA > 0

a = (576^(1/2)-24)/(-6*2) or a = (-576^(1/2)-24)/(-6*2)

a = 0 or a = 4

a in (-oo:0) U (0:4) U (4:+oo)

(2*a^2-(16*a)+32)/(24*a-(6*a^2)) = 0

(2*a^2-16*a+32)/(24*a-6*a^2) = 0

2*a^2-16*a+32 = 0

2*(a^2-8*a+16) = 0

a^2-8*a+16 = 0

DELTA = (-8)^2-(1*4*16)

DELTA = 0

a = 8/(1*2)

a = 4 or a = 4

2*(a-4)^2 = 0

24*a-6*a^2 = 0

6*a*(4-a) = 0

4-a = 0 // - 4

-a = -4 // * -1

a = 4

6*a*(a-4) = 0

(2*(a-4)^2)/(6*a*(a-4)) = 0

a-4 = 0 // + 4

a = 4

a in { 4}

a belongs to the empty set

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