Answer
$x=\frac{1}{2}$ and $x=-\frac{1}{2}$
Work Step by Step
The given equation is
$\Rightarrow 4x^2+10=11$
Subtract $10$ from each side.
$\Rightarrow 4x^2+10-10=11-10$
Simplify.
$\Rightarrow 4x^2=1$
Divide each side by $4$.
$\Rightarrow \frac{4x^2}{4}=\frac{1}{4}$
Simplify.
$\Rightarrow x^2=\frac{1}{4}$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt {\frac{1}{4}}$
Simplify.
$\Rightarrow x=\pm\frac{1}{2}$
Hence, the solutions are $x=\frac{1}{2}$ and $x=-\frac{1}{2}$.
