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

$$x=3,\:x=-\frac{1}{2}$$
In order to solve this problem, we use the method of completing the square. Doing this, we find: $$x^2-\frac{5x}{2}=\frac{3}{2} \\ x^2-\frac{5x}{2}+\left(-\frac{5}{4}\right)^2=\frac{3}{2}+\left(-\frac{5}{4}\right)^2\\ \left(x-\frac{5}{4}\right)^2=\frac{49}{16}\\ x=3,\:x=-\frac{1}{2}$$