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Квадратные неравенства: правила Вьета и дискриминант

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Квадратные неравенства: правила Вьета и дискриминант

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Теория и примеры по неравенствам

Created by

Алтай Кадырберген
Алтай Кадырберген
Kazakhstan

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Квадратные неравенства: правила Вьета и дискриминант
 

Квадратные неравенства: правила Вьета и дискриминантOnline version

Теория и примеры по неравенствам

by Алтай Кадырберген
1

Что означает дискриминант D = b^2 - 4ac для уравнения ax^2+bx+c=0?

2

Если D>0 и a>0, какая часть графика y=ax^2+bx+c лежит ниже оси?

3

Уравнение x^2-5x+6=0. Найдите корни через дискриминант.

4

Какой корень неравенства ax^2+bx+c<0 можно найти через корни уравнения?

5

Если дискриминант равен нулю, то корни квад. уравнения какие?

6

Пусть ax^2+bx+c=0. Верно: при a>0 график поднимается вверх и y<0 на интервале между корнями.

7

Как найти корни неравенства ax^2+bx+c<0 при a>0?

8

Если одна из формул Виета применима к уравнению x^2+px+q=0, то корни равны?

9

Какой знак у a, чтобы пара чисел на вещественной прямой давала <0 между корнями?

10

При каких условиях неравенство ax^2+bx+c<0 имеет решение на всей числовой оси?

 
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