Answer
$$ 1.351, \ or, \ -1.851.$$
Work Step by Step
For the equation $2x^2 +x-5 = 0$, we use the quadratic formula as follows
$$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\ a=2, \quad b=1, \quad c=-5 .$$ That is, $$ x=\frac{-1 \pm \sqrt{1+40}}{2(2) }\approx 1.351, \ or, \ -1.851.$$
