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arishafilimonova
@arishafilimonova
July 2022
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Системы уравнений :
1) (х-у+14
(х²+у²=26
2) (х-у=7
(ху=12
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sedinalana
Verified answer
1) (х-у=14⇒x=y+14
(х²+у²=26
(y+14)²+y²=26
y²+28y+196+y²-26=0
2y²+28y+170=0
y²+14y+85=0
D=196-340=-144
нет решения
2) (х-у=7⇒x=y+7
(ху=12
y(y+7)=12
y²+7y-12=0
D=49+48=97
y1=(-7-√97)/2⇒x1=(-7-√97)/2+7=(7-√97)/2
y2=(-7+√97)/2⇒x2=(7+√97)/2
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Answers & Comments
Verified answer
1) (х-у=14⇒x=y+14(х²+у²=26
(y+14)²+y²=26
y²+28y+196+y²-26=0
2y²+28y+170=0
y²+14y+85=0
D=196-340=-144
нет решения
2) (х-у=7⇒x=y+7
(ху=12
y(y+7)=12
y²+7y-12=0
D=49+48=97
y1=(-7-√97)/2⇒x1=(-7-√97)/2+7=(7-√97)/2
y2=(-7+√97)/2⇒x2=(7+√97)/2