1.1. $2{x}^{2}-6x+5$ can be written in the form $a{(x-b)}^{2}+c$

where $a,b$ and$c$ are positive numbers. Work out the values of  $a,b$ and $c$.

$\begin{matrix}a & = & ...................\\b & = & ...................\\c & = & ...................\end{matrix}$

1.2. Using your answer to part (a), or otherwise, solve  $2{x}^{2}–6x+5=8.5$