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spekhova
@spekhova
March 2022
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Решите неравенство :
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tamarabernukho
(x+3)²-2x(x-4)≤49
x²+6x+9-2x²+8x-49≤0
-x²+14x-40≤0
x²-14x+40≥0
x²-4-10x+40≥0
x(x-4)-10(x-4)≥0
(x-4)(x-10)≥0
+++++[4]--------[10]++++++
ответ x∈(-∞;4]U[10;+∞)
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Answers & Comments
x²+6x+9-2x²+8x-49≤0
-x²+14x-40≤0
x²-14x+40≥0
x²-4-10x+40≥0
x(x-4)-10(x-4)≥0
(x-4)(x-10)≥0
+++++[4]--------[10]++++++
ответ x∈(-∞;4]U[10;+∞)