Предмет: Алгебра, автор: listik2535

Корень из 4-2х=2х+2
Решение

Ответы

Автор ответа: sangers1959

0

Объяснение:

$\sqrt{4-2x} =2x+2.\\$

ОДЗ:

$\left \{ {{4-2x\geq 0} \atop {2x+2\geq 0}} \right. \ \ \ \ \left \{ {{2x\leq 4\ |:2} \atop {2x\geq -2\ |:2} \right. \ \ \ \ \ \left \{ {{x\leq 2} \atop {x\geq -1}} \right.\ \ \ \ \Rightarrow\ \ \ \ \ x\in[-1;2].\\ (\sqrt{4-2x})^2=(2x+2)^2 \\4-2x=4x^2+8x+4\\4x^2+10x=0\ |:2\\2x^2+5x=0\\x*(2x+5)=0\\x_1=0\in.\\2x+5=0\\2x=-5\ |:2\\x=-2,5\notin.$

Ответ: x=0.

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