Предмет: Алгебра, автор: ikea712

Корень квадратный из х + корень 4 степени из х = 12

kalbim: непонятно записано условие

Ответы

Автор ответа: mukus13

$\sqrt{x} + \sqrt[4]{x} =12$
ОДЗ: $x \geq 0$
введем замену: $\sqrt[4]{x} =t$ $t \geq 0$

$t^2+t-12=0$
$D=1+48=49$
$t_1=3$
$t_2=-4$ - не подходит

$\sqrt[4]{x} =3$
$x=3^4$
$x=81$
Ответ: 81

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