(a^2-24a+10)/(3a+9)

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Solution for (a^2-24a+10)/(3a+9) equation:


D( a )

3*a+9 = 0

3*a+9 = 0

3*a+9 = 0

3*a+9 = 0 // - 9

3*a = -9 // : 3

a = -9/3

a = -3

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

(a^2-(24*a)+10)/(3*a+9) = 0

(a^2-24*a+10)/(3*a+9) = 0

a^2-24*a+10 = 0

a^2-24*a+10 = 0

DELTA = (-24)^2-(1*4*10)

DELTA = 536

DELTA > 0

a = (536^(1/2)+24)/(1*2) or a = (24-536^(1/2))/(1*2)

a = (2*134^(1/2)+24)/2 or a = (24-2*134^(1/2))/2

(a-((24-2*134^(1/2))/2))*(a-((2*134^(1/2)+24)/2)) = 0

((a-((24-2*134^(1/2))/2))*(a-((2*134^(1/2)+24)/2)))/(3*a+9) = 0

( a-((2*134^(1/2)+24)/2) )

a-((2*134^(1/2)+24)/2) = 0 // + (2*134^(1/2)+24)/2

a = (2*134^(1/2)+24)/2

( a-((24-2*134^(1/2))/2) )

a-((24-2*134^(1/2))/2) = 0 // + (24-2*134^(1/2))/2

a = (24-2*134^(1/2))/2

a in { (2*134^(1/2)+24)/2, (24-2*134^(1/2))/2 }

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