Answer
$1, \ or, \ 0.4$
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, $$ x=\frac{7\pm \sqrt{49-40}}{2(5) }=1, \ or, \ 0.4
.$$