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Решите неравенство: x² + 2x + 5 > 0","type":"unstyled","key":"5dgj7"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"f4jm9"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"Решение:","type":"unstyled","key":"gj09"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"6suq4"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"1. Решаем уравнение: x² + 2x + 5 = 0 D = 4 - 20 = -16 < 0 — действительных корней нет","type":"unstyled","key":"o9ce"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"2. a = 1 > 0 — ветви вверх ↗","type":"unstyled","key":"dhfc"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"3. Парабола всегда находится выше оси OX","type":"unstyled","key":"560gi"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"4. Неравенство верно при всех x","type":"unstyled","key":"b74gn"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"4jpa7"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"Ответ: x ∈ (-∞; +∞)","type":"unstyled","key":"2alup"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"1o7bq"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"emb49"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[{"length":11,"offset":0,"style":"BOLD"}],"text":"Задание 6. Решите неравенство: -3x² + 12x - 12 ≥ 0","type":"unstyled","key":"eu7s4"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"2sh8"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"Решение:","type":"unstyled","key":"d1k3m"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"c6tcm"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"1. Умножим на -1 (поменяв знак неравенства): 3x² - 12x + 12 ≤ 0","type":"unstyled","key":"100po"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"2. Разделим на 3: x² - 4x + 4 ≤ 0","type":"unstyled","key":"ah6hm"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"3. Решаем уравнение: (x - 2)² = 0, x = 2","type":"unstyled","key":"38reh"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"4. Квадрат выражения всегда ≥ 0, равен 0 только при x = 2","type":"unstyled","key":"2oa27"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"5. Нам нужно ≤ 0 — это только точка x = 2","type":"unstyled","key":"cvsvb"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"4lenr"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"Ответ: x = 2","type":"unstyled","key":"btq28"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"bc8nk"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"bsg7f"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[{"length":33,"offset":0,"style":"BOLD"}],"text":"Чтобы уверенно решать задание №4:","type":"unstyled","key":"d12gl"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"8mp1h"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"1. Всегда начинайте с приведения неравенства к стандартному виду.","type":"unstyled","key":"7lhgi"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"2. Аккуратно находите корни соответствующего квадратного уравнения.","type":"unstyled","key":"7271f"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"3. Помните о направлении ветвей параболы (знак a!).","type":"unstyled","key":"3is9u"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"4. Правильно расставляйте знаки на интервалах.","type":"unstyled","key":"dba5n"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"5. Внимательно включайте/не включайте концы интервалов в ответ.","type":"unstyled","key":"arslc"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"unstyled","key":"6hg2c"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"Метод интервалов — ваш надежный помощник не только для квадратных неравенств, но и для многих других типов заданий. Тренируйтесь, и четвертое задание ОГЭ будет даваться вам легко!","type":"unstyled","key":"1h2hr"},{"data":{},"depth":0,"entityRanges":[],"inlineStyleRanges":[],"text":"","type":"marker","key":"Trqf47KXKF0l5wq09OD3"}],"entityMap":{}},"mentions":[]}