Question

If $12+\frac{3\sqrt{x-5}}{2}=18$, find the value of $x?$

• A. $21$
• B. $20$
• C. $26$
• D. $18$

Answer 1

The correct option is A $21$

Given, $12+\frac{3\sqrt{x-5}}{2}=18$

$\Rightarrow 24+3\sqrt{x-5}=36$

$\Rightarrow 3\sqrt{x-5}=36-24$

$\Rightarrow 3\sqrt{x-5}=12$

$\Rightarrow \sqrt{x-5}=4$

Squaring on both the sides

$\Rightarrow x-5=16$

$\Rightarrow x=21$