Question

решить уравнение
sqrt(2x-6)-sqrt(x-1)=0

Answer 1

$\left \{ {{2x-6 \geq 0\ \ x \geq 3\\} \atop x-1 \geq 0\ \ x \geq 1\\ }} \right. \\ (2x-6)-(x-1)=0\\x-5=0\\x=5$

Answer 2

$\sqrt{2x-6} - \sqrt{x-1} =0 \\ \sqrt{2x-6} =\sqrt{x-1} \\ 2x-6=x-1\\2x-x=-1+6\\x=5$