The least positive value of a for which the equation, $2x^2+(a-10)x+\frac{33}{2}=2a$ has real roots is ____

$2x^2+(a-10x)+33/2=2a$  has real roots $\Rightarrow$ Discriminant  $\ge 0$.
 $\Rightarrow {(a-10)}^2-\left(4\right)\left(2\right)(33/2-2a)\ge 0\Rightarrow a^2-20a+100-132+16a\ge 0$
 $\Rightarrow a^2-4a-32\ge 0(a+4)(a-8)\ge 0\Rightarrow a\le -4ora\ge 8$
$\therefore$ The leas positive value of a is 8.