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leno4kar
@leno4kar
July 2022
1
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Розв`язити систему рівнянь
х+у=8
ху=15
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2407Alexa
X=8-y
(8-y)*y=15
8y-y²=15
y²-8y+15=0
По теореме Вието:
у1+у²=-p=-(-8)=8
y1*y2=q=15
y1=5
y2=3
x1=8-y1=8-5
x1=3
x2=8-y2=8-3
x2=5
(3;5) и (5;3)
1 votes
Thanks 2
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Answers & Comments
(8-y)*y=15
8y-y²=15
y²-8y+15=0
По теореме Вието:
у1+у²=-p=-(-8)=8
y1*y2=q=15
y1=5
y2=3
x1=8-y1=8-5
x1=3
x2=8-y2=8-3
x2=5
(3;5) и (5;3)