Answer
$\{5,\frac{1}{2}\}$
Work Step by Step
$2x^{2}-11x+5=0$
Using quadratic formula,
$x= \frac{-b±\sqrt (b^{2}-4ac)}{2a}$
Substituting $a=2, b=-11, c=5$
$x= \frac{11±\sqrt ((-11)^{2}-4(2)(5))}{2(2)}$
$x= \frac{11±\sqrt (121-40)}{4}$
$x= \frac{11±\sqrt81}{4}$
$x= \frac{11±9}{4}$
$x= \frac{11+9}{4}$ or $x= \frac{11-9}{4}$
$x= \frac{20}{4}$ or $x= \frac{2}{4}$
$x= 5$ or $x= \frac{1}{2}$
