Answer
$x=\frac{7}{3}$ and $x=-\frac{7}{3}$
Work Step by Step
The given equation is
$\Rightarrow 9x^2-35=14$
Add $35$ to each side.
$\Rightarrow 9x^2-35+35=14+35$
Simplify.
$\Rightarrow 9x^2=49$
Divide each side by $9$.
$\Rightarrow \frac{9x^2}{9}=\frac{49}{9}$
Simplify.
$\Rightarrow x^2=\frac{49}{9}$
Take the square root of each side.
$\Rightarrow x=\pm\sqrt {\frac{49}{9}}$
Simplify.
$\Rightarrow x=\pm\frac{7}{3}$
Hence, the solutions are $x=\frac{7}{3}$ and $x=-\frac{7}{3}$.
