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krisbires
@krisbires
August 2022
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Ксюшка5
(√8-5х)=(√х^2 -16) | возводим в квадрат, получаем:
8-5х=х^2-16
х^2 +5х-16-8=0
х^2+5х-24=0
D= (-5)^2-4×1×(-24)= 25+24×4=121; √121=+-11
х1= -5+11/2= 3
х2=-5-11/2= -8
Проверка:
(√8-5×3)=(√(3)^2-16)
не подходит
(√8-5×(-8))=(√(-8)^2-16)
0 votes
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Answers & Comments
8-5х=х^2-16
х^2 +5х-16-8=0
х^2+5х-24=0
D= (-5)^2-4×1×(-24)= 25+24×4=121; √121=+-11
х1= -5+11/2= 3
х2=-5-11/2= -8
Проверка:
(√8-5×3)=(√(3)^2-16)
не подходит
(√8-5×(-8))=(√(-8)^2-16)