Question

Find the value of $x$ for $8+\frac{\sqrt{2x+29}}{3}=9$

• A. $-10$
• B. $-2$
• C. $19$
• D. No solution

Answer 1

The correct option is A $-10$

Given, $8+\frac{\sqrt{2x+29}}{3}=9$

$\Rightarrow \frac{\sqrt{2x+29}}{3}=9-8$

$\Rightarrow \sqrt{2x+29}=3$

Squaring on both the sides, we get

$2x+29=9$

$\Rightarrow 2x=9-29$

$\Rightarrow 2x=-20$

$\Rightarrow x=-10$