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DenmenSt
@DenmenSt
July 2022
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3 или 5 задание.Много баллов даю
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321НаЗдЯ123
X2 + 8ax - 15a + 1 = 0
D = (8a)2 - 4(1 - 15a) = 4*(16a2 + 15a - 1)
Два действительных корня <=> D > 0
16a2 + 15a - 1 > 0
(16a - 1)(a + 1) > 0
=> a ∈ (-∞; -1) ∪ (1/16; +∞)
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Answers & Comments
D = (8a)2 - 4(1 - 15a) = 4*(16a2 + 15a - 1)
Два действительных корня <=> D > 0
16a2 + 15a - 1 > 0
(16a - 1)(a + 1) > 0
=> a ∈ (-∞; -1) ∪ (1/16; +∞)