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Tim17
@Tim17
September 2021
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Решите систему , 10 класс
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chehov7400
Х³+у³=9 и х+у=3
(х+у)(х²-ху+у²)=9
х²+ху+у²=3 х=3-у
(3-у)²+(3-у)у+у²=3 9-6у+у²-3у+у²+у²=3
3 у² -9у+6=0
у²-3у+2=0 у1,2=3/2+/-√9/4-2=3/2+/-1/2
у1=2 у2=1 х1=1 х2=2
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Answers & Comments
(х+у)(х²-ху+у²)=9
х²+ху+у²=3 х=3-у
(3-у)²+(3-у)у+у²=3 9-6у+у²-3у+у²+у²=3
3 у² -9у+6=0
у²-3у+2=0 у1,2=3/2+/-√9/4-2=3/2+/-1/2
у1=2 у2=1 х1=1 х2=2