Question

) Решите уравнение 6 − √х=х

Answer 1

$6-\sqrt{x}=x\\\sqrt{x}=6-x$

ОДЗ

$\left \{ {{x\geq 0} \atop {6-x\geq 0}} \right. \left \{ {{x\geq 0} \atop {x\leq 6}} \right.$

$x \in [0;6]$

$x=(6-x)^2\\\\x=x^2-12x+36\\x^2-13x+36=0\\x_1=9 \notin [0;6] \\x_2=4 \in [0;6]\\\\Ans: x=4$