Answer
$1, \ or, \ 0.375$
Work Step by Step
For the equation $8x^2 -11x+3= 0$, we use the quadratic formula as follows
$$
x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a},
\\
a=8, \quad b=-11, \quad c=3
.$$
That is, $$ x=\frac{11\pm \sqrt{121-4(24)}}{2(8) }=1, \ or, \ 0.375
.$$