Đáp án:
`a,S={122/3}`
$b,S=\{28\}$
$c,S=\{3\}$
Giải thích các bước giải:
$c,\sqrt{3x-1}-1=10$ $\left(ĐK:\,x\ge \dfrac{1}{3}\right)$
$⇔\sqrt{3x-1}=11$
$⇔3x-1=121$
$⇔3x=122$
$⇔x=\dfrac{122}{3}$
Vậy `S={122/3}`
$d,2\sqrt{x-3}=10$ $(ĐK:\,x\ge 3)$
$⇔\sqrt{x-3}=5$
$⇔x-3=25$
$⇔x=28$
Vậy $S=\{28\}$
$e,3\sqrt{2x+3}+5=14$ $\left(x\ge-\dfrac{3}{2}\right)$
$⇔3\sqrt{2x+3}=9$
$⇔\sqrt{2x+3}=3$
$⇔2x+3=9$
$⇔2x=6$
$⇔x=3$
Vậy $S=\{3\}$.