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xy=6,x2+y2=37
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Solution
(
x=1,
y=6
x=−1,
y=−6
x=6,
y=1
x=−6,
y=−1
)
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[
xy=6
x2+y2=37
]
xy=6في xاعزل:x=6y;y≠0
x2+y2=37في x=6yعوّض الحلول
6yمع xاستبدل x2+y2=37لـ:y=6,y=−6,y=1,y=−1
xy=6في y=6,y=−6,y=1,y=−1عوّض الحلول
6مع yاستبدل xy=6لـ:x=1
−6مع yاستبدل xy=6لـ:x=−1
1مع yاستبدل xy=6لـ:x=6
−1مع yاستبدل xy=6لـ:x=−6
تأكّد من صحّة الحلول عن طريق تعويضها في المعادلة الأصليّة