Реши уравнение x² − 5x + 6 = 0
Краткий ответ:
\[
x_1=2,\qquad x_2=3.
\]
Разложим левую часть на множители: \[ x^2-5x+6=(x-2)(x-3). \]
Тогда: \[ (x-2)(x-3)=0. \]
Произведение равно нулю, если хотя бы один множитель равен нулю: \[ x-2=0 \quad \text{или} \quad x-3=0. \]
Отсюда: \[ \boxed{x=2 \text{ или } x=3}. \]
Проверка: \[ 2^2-5\cdot2+6=4-10+6=0, \] \[ 3^2-5\cdot3+6=9-15+6=0. \]
Оба корня верны.
Обсуждение
2 сообщенияНа изображении видны упражнения 9–11.
9. Idioms
- They don’t see eye to eye.
- He’s like a bear with a sore head.
- They gave me the cold shoulder when I arrived.
- He’s a pain in the neck.
- Get off my back!
- He really gets on my nerves.
10. Words confused
Amy is very supportive.
Her parents are supporting her in her studies.Josh is a really caring person.
Be careful when you cross the road.He wasn’t respected by his students.
The students were respectful to their teacher.Angela always tries to do the right thing — she’s really well-meaning.
It was mean of him to laugh at her mistake.
11. Speaking — пример ответа
This is a photo of me and my friends. We are in the park. We are smiling and having a good time together. The weather is sunny, and everyone looks happy. I like this photo because it reminds me of a great day with my friends.
