Question

√x-3=5-x
Помогите решить уравнение

Answer 1

$\displaystyle\\\sqrt{x-3}=5-x\Leftrightarrow\left \{ {{x-3=(5-x)^2} \atop {5-x\geq 0}} \right. \\\left \{ {{x-3=25-10x+x^2} \atop {x\leq 5}} \right. \\\left \{ {{x^2-11x+28=0} \atop {x\leq 5}} \right. \\\left \{ {{x=4;7} \atop {x\leq5}} \right. \Rightarrow x=4$

Ответ: 4