Question

$\frac{1}{5} \sqrt{3x-2} -1=0$

Answer 1

$\frac{1}{5} \sqrt{3x-2}-1=0\\\\\frac{1}{5} \sqrt{3x-2}=1\\\\( \sqrt{3x-2})^{2} =5^{2} \\\\3x-2=25\\\\3x=27\\\\x=9\\\\Proverka:\\\\\frac{1}{5} \sqrt{3*9-2}-1=0\\\\\frac{1}{5}\sqrt{27-2} -1=0\\\\\frac{1}{5}\sqrt{25}-1=0\\\\\frac{1}{5}*5-1=0\\\\1-1=0\\\\0=0-verno\\\\Otvet:\boxed9$