Answer
$x=3.61$ and $x=-3.61$
Work Step by Step
The given equation is
$\Rightarrow x^2+11=24$
Subtract $11$ from each side.
$\Rightarrow x^2+11-11=24-11$
Simplify.
$\Rightarrow x^2=13$
Take the square root of each side.
$\Rightarrow x=\pm \sqrt {13}$
Use a calculator.
$\Rightarrow x=\pm 3.61$
Hence, the solutions are $x=3.61$ and $x=-3.61$.