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theChurchil
@theChurchil
June 2022
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x^2+ корень x =корень x +x+6
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АрчиАр
Х²+√х -√х-х-6=0
х²-х-6=0
D=b²-4ac
D=1+24=25
x1=-b+√D/2a
x1=1+5/2=3
x2=-b-√D/2a
x2=1-5/2=-2
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theChurchil
https://znanija.com/task/24422312
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Решение:
x^2+√x=√x+x+6 ОДЗ: x>=0
x^2-x-6=0.По обратной теореме Виета x1=3, x2=-2.Учитывая,что x>=0
получаем x=3
Ответ x=3.
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Answers & Comments
х²-х-6=0
D=b²-4ac
D=1+24=25
x1=-b+√D/2a
x1=1+5/2=3
x2=-b-√D/2a
x2=1-5/2=-2
x^2+√x=√x+x+6 ОДЗ: x>=0
x^2-x-6=0.По обратной теореме Виета x1=3, x2=-2.Учитывая,что x>=0
получаем x=3
Ответ x=3.