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Kostarevkirill
@Kostarevkirill
August 2022
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40 баллов за решение, 10 класс
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ludmilagena
Verified answer
√(4x-8) =7/8 - 2x (одз: х≥ 2)
2√(x-2)=7/8-2x
√(x-2)=7/16-x
x-2 =(7/16-x)²
x-2=(7-16x)²/256
256x-512=(7-16x)²
256x-512=49-224x+256x²
256x²-480x +561=0
D=480*480-4*256*561=230 400-574 464 <0 решения нет.
ответ: решения нет.
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Answers & Comments
Verified answer
√(4x-8) =7/8 - 2x (одз: х≥ 2)2√(x-2)=7/8-2x
√(x-2)=7/16-x
x-2 =(7/16-x)²
x-2=(7-16x)²/256
256x-512=(7-16x)²
256x-512=49-224x+256x²
256x²-480x +561=0
D=480*480-4*256*561=230 400-574 464 <0 решения нет.
ответ: решения нет.