## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$$x=\frac{\sqrt{2}\left(-5+\sqrt{17}\right)}{4},\:x=\frac{\sqrt{2}\left(-5-\sqrt{17}\right)}{4}$$
There are many ways to solve these problems. However, it is beneficial to use the quadratic formula, for this will work for almost any expression. Hence, we find: $$x_{1,\:2}=\frac{-5\pm \sqrt{5^2-4\sqrt{2}\sqrt{2}}}{2\sqrt{2}}\\ x=\frac{\sqrt{2}\left(-5+\sqrt{17}\right)}{4},\:x=\frac{\sqrt{2}\left(-5-\sqrt{17}\right)}{4}$$