Question

помогите решить 1)√x-9+2=√x-1 2)³√x+2=-2

Answer 1

$1)\; \; \sqrt{x-9}+2=\sqrt{x-1}\; ; \\\\ODZ:\; x-9 \geq 0,\; x-1 \geq 0\; \; \to \; \;x \geq 9\\\\x-9+4\sqrt{x-9}+4=x-1\\\\4\sqrt{x-9}=4\\\\\sqrt{x-9}=1\\\\x-9=1\\\\x=10$

$2)\; \; \sqrt[3]{x+2}=-2\\\\x+2=-8\\\\x=-10$