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Mikailova28
@Mikailova28
July 2022
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Найдите наибольшее целое число удовлетворяющее неравенству:
(1-√2) (x-3) > 2√8
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siestarjoki
(1 -√2)(x-3) > 2√8 <=> x > 2√8/(1-√2) +3
2√8/(1 -√2) +3 =
[4√2 +3(1-√2)]/(1-√2) =
(3+√2)/(1-√2) =
(3+√2)(1+√2)/(1-2) =
-(3 +√2 +3√2 +2) =
-(5+4√2) = -10,657
x > -10,657
Наибольшее целое число, удовлетворяющее неравенству:
-10
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Answers & Comments
2√8/(1 -√2) +3 =
[4√2 +3(1-√2)]/(1-√2) =
(3+√2)/(1-√2) =
(3+√2)(1+√2)/(1-2) =
-(3 +√2 +3√2 +2) =
-(5+4√2) = -10,657
x > -10,657
Наибольшее целое число, удовлетворяющее неравенству: -10