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Решите систему уравнений: {x+y=5 {x−y=15 Смотреть ответ karolino6ka19 karolino6ka19 Ответ: (10;-5) Объяснение: {x+y=5 {x−y=15     {x+y=5 {x=15-y 15+y+y=5 y=-5 x=15-5 x=10 Новые вопросы в Алгебра Помогите пожалуйста X^2-10x+16>=0 6. Відомо, що а+b=5, ab=-2. Знайдіть значення виразу (a-b)в квадраті​ Знайти f(27), якщо f(x) = √3х​a) 9 b)-9 в) 4 г)6 Знайдіть знаменник геометричної прогресії... 75; 15; 3;.....​ Визначте найбільше цiле значення а, за якого один із коренів рівняння 2x²-(4a +9)x +6а+9=0 належить проміжку (-46;-23), а інший - проміжку (1;55).​ Предыдущий Следующий Вместе мы знаем больше Этот сайт использует cookies Политика Cookies . Вы можете указать условия хранения и доступ к cookies в своем браузере. 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Answer 1

Вы уже предоставили ответ на первую систему уравнений, так что перейдем к вашим другим вопросам.

1. Решим неравенство: $x^2 - 10x + 16 \geq 0$

Для начала, найдем корни квадратного уравнения $x^2 - 10x + 16 = 0$: $x^2 - 10x + 16 = (x - 8)(x - 2)$ Корни: $x = 8$ и $x = 2$

Теперь построим знаковую таблицу, чтобы определить интервалы, на которых неравенство выполняется:

Интервал	Тестовая точка	Знак выражения
$-\infty, 2$	0	+
$2, 8$	5	+
$8, +\infty$	10	+

Исходя из таблицы, мы видим, что выражение $x^2 - 10x + 16$ положительно на всех интервалах, кроме, возможно, точек 2 и 8. Однако неравенство включает в себя равенство, поэтому исключим точки 2 и 8 из рассмотрения. Таким образом, неравенство выполняется на интервалах $(-\infty, 2)$ и $(8, +\infty)$.

2. Для выражения $(a - b)^2$, используя известные значения $a + b = 5$ и $ab = -2$, раскроем квадрат и упростим: $(a - b)^2 = a^2 - 2ab + b^2$

   Подставляем значения $a + b = 5$ и $ab = -2$: $(a - b)^2 = a^2 - 2(-2) + b^2 = a^2 + 4 + b^2$

3. Вычислим значение $f(27)$ для функции $f(x) = \sqrt{3x}$: $f(27) = \sqrt{3 \cdot 27} = \sqrt{81} = 9$

4. Чтобы найти знаменатель геометрической прогрессии, нам нужно знать хотя бы два члена этой прогрессии. Пожалуйста, предоставьте дополнительную информацию о геометрической прогрессии.

5. Для нахождения значения $a$ в уравнении $2x^2 - (4a + 9)x + 6a + 9 = 0$, которое имеет корни в указанных интервалах, нам нужно воспользоваться теорией квадратных уравнений и неравенств. Пожалуйста, уточните, что вы хотели бы узнать, и предоставьте дополнительные данные, чтобы мы могли вам помочь.