Answer
$q=9$
Work Step by Step
The given equation is
$\Rightarrow 2\sqrt {q}+5=11$
Subtract $5$ from each side.
$\Rightarrow 2\sqrt {q}+5-5=11-5$
Simplify.
$\Rightarrow 2\sqrt {q}=6$
Divide each side by $2$.
$\Rightarrow \frac{2\sqrt {q}}{2}=\frac{6}{2}$
Simplify.
$\Rightarrow \sqrt {q}=3$
Square each side of the equation.
$\Rightarrow (\sqrt{q})^2=3^2$
Simplify.
$\Rightarrow q=9$
Check $q=9$.
$\Rightarrow 2\sqrt {q}+5=11$
$\Rightarrow 2\sqrt {9}+5=11$
$\Rightarrow 2\sqrt {3^2}+5=11$
$\Rightarrow 2(3)+5=11$
$\Rightarrow 6+5=11$
$\Rightarrow 11=11$
True.
Hence, the solution is $q=9$.
