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danilasolomko
@danilasolomko
July 2022
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Решить систему уравнений 3a+b=3,b-a^2=-7
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osipovv
Держи)) Удачи!))))))
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StrangeStud
3a+b=3
b-a^2=-7
b+3a=3
b-a^2=-7
Вычтем из первого второе:
a^2+3a=10
a^2+3a-10=0
По теореме Виета
a1=-5, a2 = 2
b+3a=3
b=3-3a
1) При a = -5, b = 3+15=18
2) При a = 2, b = 3 - 6 = -3
(-5;18),(2;-3) - решения системы
Ответ: (-5;18),(2;-3)
1 votes
Thanks 0
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Answers & Comments
b-a^2=-7
b+3a=3
b-a^2=-7
Вычтем из первого второе:
a^2+3a=10
a^2+3a-10=0
По теореме Виета
a1=-5, a2 = 2
b+3a=3
b=3-3a
1) При a = -5, b = 3+15=18
2) При a = 2, b = 3 - 6 = -3
(-5;18),(2;-3) - решения системы
Ответ: (-5;18),(2;-3)