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Alexandra1G
@Alexandra1G
July 2022
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Решите иорациональное неравенство.
Под корнем 4x^2-12x+9<5
Под корнем 2х-3<3
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Ойбек111111
Оба страны берем в квадрат и получим
4x^2 -12x +9 < 25
4x^2- 12x + 9 - 25 < 0
4x^2- 12x- 16 < 0 /4
x^2 - 3x - 4 < 0
x^2 +x -4x - 4 < 0
x (x +1) - 4 ( x - 1)<0
(x-4)(x+1)<0
ответ: x€ [-1; 4]
1 votes
Thanks 1
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Answers & Comments
4x^2 -12x +9 < 25
4x^2- 12x + 9 - 25 < 0
4x^2- 12x- 16 < 0 /4
x^2 - 3x - 4 < 0
x^2 +x -4x - 4 < 0
x (x +1) - 4 ( x - 1)<0
(x-4)(x+1)<0
ответ: x€ [-1; 4]