Answer
$x = \frac{3±\sqrt {29}}{2}$
Work Step by Step
This equation is not easily factorable, so we use the quadratic formula, where the current equation is in the form $0=ax^{2}+bx+c$
$x^{2} -3x - 5 = 0$
$x = \frac{-b±\sqrt {b^{2}-4ac}}{2a}$
$x = \frac{-(-3)±\sqrt {(-3)^{2}-4(1)(-5)}}{2(1)}$
$x = \frac{3±\sqrt {9+20}}{2}$
$x = \frac{3±\sqrt {29}}{2}$
