Предмет: Алгебра, автор: raminagasanova47

Решите систему неравенство пжжжж

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Автор ответа: Universalka

$\displaystyle\bf\\\left \{ {{x^{2} -3x+9 > 0} \atop {x^{2}\leq 36 }} \right. \\\\\\1)\\\\x^{2} -3x+9 > 0\\\\x^{2} -3x+9=0\\\\D=(-3)^{2} -4\cdot 9=9-36=-27 < 0$

Дискриминант квадратного трёхчлена < 0 , старший коэффициент , то есть коэффициент при x² равен 1 > 0 , значит :

x² - 3x + 9 > 0 при любых действительных значениях x ,

то есть x ∈ R .

$\displaystyle\bf\\2)\\\\x^{2} \leq 36\\\\x^{2} -36\leq 0\\\\(x-6)(x+6)\leq 0\\\\+ + + + + [-6] - - - - - [6] + + + + +$

//////////////////////////

$\displaystyle\bf\\x\in\Big[-6 \ ; \ 6\Big]$

Окончательный ответ системы неравенств :

$\displaystyle\bf\\x\in\Big[-6 \ ; \ 6\Big]$

raminagasanova47: спасибо огромное

Universalka: Пожалуйста

raminagasanova47: помоги ещё один пример

raminagasanova47: пожалуйста

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Решите систему неравенство пжжжж​

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Решите систему неравенство пжжжж