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pindaks
@pindaks
July 2022
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Какие координаты точки пересечения функций y=√2-x и y=x?
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ПрофиЗнания
Приравняем две функции и найдём точки пересечия
√2-x=x
2-x=x²
x²+x-2=0
D=1-4*(-2)*1=1+8=9=3²
x1=-1+3/2=2/2=1
x2=-1-3/2=-4/2=-2
y=x
y1=1
y2=-2
Ответ: Точки пересения (-2:1) (1:-2)
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Answers & Comments
√2-x=x
2-x=x²
x²+x-2=0
D=1-4*(-2)*1=1+8=9=3²
x1=-1+3/2=2/2=1
x2=-1-3/2=-4/2=-2
y=x
y1=1
y2=-2
Ответ: Точки пересения (-2:1) (1:-2)