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korolevka009
@korolevka009
July 2022
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Решить неравенство (2x-7)(2x+7)>6x-51
Больше или равно.
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wasjafeldman
Verified answer
(2x-7)(2x+7)≥6x-51
4x²+14x-14x-49≥6x-51
4x²-6x≥-51+49
4x²-6x≥-2
4x²-6x+2≥0
4x²-6x+2=0
D=(-6)²-4*4*2=36-32=4
x₁=
x₂=
Ответ: x∈(-∞;0/5]∪[1;+∞)
6 votes
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korolevka009
Спасибо огромное.
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Answers & Comments
Verified answer
(2x-7)(2x+7)≥6x-514x²+14x-14x-49≥6x-51
4x²-6x≥-51+49
4x²-6x≥-2
4x²-6x+2≥0
4x²-6x+2=0
D=(-6)²-4*4*2=36-32=4
x₁=
x₂=
Ответ: x∈(-∞;0/5]∪[1;+∞)