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Вопрос по алгебре:
Найдите область определения функции:
y=корень 2x^2-x-1
Помогите пожалуйста-
Автор:
chaim
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у=√(2х²-х-1)
2х²-х-1≥0
Решим квадратн. уравнение, потом корнями разобьем на интервалы числовую ось и выясним знак на каждом промежутке. Ответом будет.
х=(1±√(1+8))/4
х=1; х=-1/2
А областью определения служит объединение
х∈(-∞;-1/2]∪[1;+∞)
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