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annalokotok
@annalokotok
July 2022
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Сократить дробь (3х²—10х+3)/(x²—9)
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nnkalinka
Чтобы разложить квадратный трехчлен
на множители, найдем корни квадратного трехчлена
D=(-10)²-4·3·3=100-36=64=8²
x=(10-8)/6=1/3 или х=(10+8)/6=3
3х²-10х+3=3(х-(1/3))(х-3)=(3х-1)(х-3)
0 votes
Thanks 2
nafanya2014
Verified answer
(3x-1)(x-3)/(x+3)(x-3)=(3x-1)/(x+3)
1 votes
Thanks 2
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Answers & Comments
Чтобы разложить квадратный трехчлен
на множители, найдем корни квадратного трехчлена
D=(-10)²-4·3·3=100-36=64=8²
x=(10-8)/6=1/3 или х=(10+8)/6=3
3х²-10х+3=3(х-(1/3))(х-3)=(3х-1)(х-3)
Verified answer
(3x-1)(x-3)/(x+3)(x-3)=(3x-1)/(x+3)