(-a^2+18a+9)/3a

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Solution for (-a^2+18a+9)/3a equation:


a in (-oo:+oo)

a*(((-a)^2+18*a+9)/3) = 0

(a*(a^2+18*a+9))/3 = 0

a^2+18*a+9 = 0

a^2+18*a+9 = 0

DELTA = 18^2-(1*4*9)

DELTA = 288

DELTA > 0

a = (288^(1/2)-18)/(1*2) or a = (-288^(1/2)-18)/(1*2)

a = (12*2^(1/2)-18)/2 or a = (-12*2^(1/2)-18)/2

(a-((-12*2^(1/2)-18)/2))*(a-((12*2^(1/2)-18)/2)) = 0

(a*(a-((-12*2^(1/2)-18)/2))*(a-((12*2^(1/2)-18)/2)))/3 = 0

( a-((-12*2^(1/2)-18)/2) )

a-((-12*2^(1/2)-18)/2) = 0 // + (-12*2^(1/2)-18)/2

a = (-12*2^(1/2)-18)/2

( a-((12*2^(1/2)-18)/2) )

a-((12*2^(1/2)-18)/2) = 0 // + (12*2^(1/2)-18)/2

a = (12*2^(1/2)-18)/2

( a )

a = 0

a in { (-12*2^(1/2)-18)/2, (12*2^(1/2)-18)/2, 0 }

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