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Биквадратные уравнения

Froggy Jumps

Played 1

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Учимся решать биквадраты

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Uzbekistan

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Биквадратные уравнения
 

Froggy Jumps

Биквадратные уравненияOnline version

Учимся решать биквадраты

by 8d school 31
1

Какое общее квадратное уравнение называется биквадратным?

2

Какой заменой обычно решают биквадратное уравнение?

3

После подстановки y=x^2 какое уравнение получаем?

4

Какой критерий используется, чтобы определить реальные корни после нахождения y?

5

Если дискриминант D=b^2-4ac < 0, сколько реальных корней у биквадратного?

6

При D=0 и y1≥0, сколько корней у биквадратного?

7

Если y1<0, а уравнение y=ax^2+bx+c имеет корень y1, сколько реальных корней у исходного биквадратного?

8

Какой вид ограничений на корни, если y1 > 0?

9

Правило извлечения корней: из y≥0 получаем x = ?

10

Какой случай: ax^4+bx^2+c=0, a≠0, b^2-4ac>0 и y1>0 даёт как минимум два реальных корня?

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