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@xforce
July 2022
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a^3-27/5a^2-16a+3
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sofiyavictoria
Преобразуем знаменатель дроби. 5a^2-16a+3=0. D=256-4*5*3=256-60=196=14^2.
a1=(16+14)/1030/10=3. a2=(16-14)/10=2/10=1/5.
5a^2-16a+3=5(a-3)*(a-1/5)=(a-3)(5a-1)
(a-3)(a^2+3a+9)/a-3)(5a-1)=(a^2+3a+9)/(5a-1)
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Answers & Comments
a1=(16+14)/1030/10=3. a2=(16-14)/10=2/10=1/5.
5a^2-16a+3=5(a-3)*(a-1/5)=(a-3)(5a-1)
(a-3)(a^2+3a+9)/a-3)(5a-1)=(a^2+3a+9)/(5a-1)