Question

If $3{(\frac{x}{2}+1)}^2=27$, then value of $x$ is equal to

• A. $2,6$
• B. $4,-8$
• C. $3,-9$
• D. $5,7$

Answer 1

Answer: (B)

$4,-8$

Given, $3{(\frac{x}{2}+1)}^2=27$
$\Rightarrow {(\frac{x}{2}+1)}^2=9$
$\Rightarrow {(\frac{x}{2}+1)}^2=3^2$
$\Rightarrow \frac{x}{2}+1=\pm 3$
$\Rightarrow \frac{x}{2}+1=3$

$\Rightarrow x=4$ or $\frac{x}{2}+1=-3$
$\Rightarrow x=4$ or $x=-8$