Answer
$1.64, \ or, \ -0.243$
Work Step by Step
For the equation $5x^2 -7x-2= 0$, we use the quadratic formula as follows
$$ x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}, \\
a=5, \quad b=-7, \quad c=-2.$$
That is,
$$ x=\frac{7\pm \sqrt{49-4(5)(-2)}}{2(5) }=1.64, \ or, \ -0.243
.$$
