Предмет: Алгебра, автор: ДевчёнкаАда

Решите неравенство x^2/3>3x+3/4

Ответы

Автор ответа: Аноним

$displaystyle frac{x^2}{3} textgreater frac{3x+3}{4} ~~|cdot 12 \ \ 4x^2 textgreater 3(3x+3)\ \ 4x^2-9x-9 textgreater 0$

Решив квадратное уравнение $4x^2-9x-9=0$ достанем корни x1=-3/4 и x=3

____+__(-3/4)___-__(3)___+___

ОТВЕТ: $x in (-infty;-3/4)cup(3;+infty).$

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