Answer
{$1,9$}
Work Step by Step
Factoring the equation and setting the factors equal to zero, we obtain:
$t^{2}-10t+25=16$
$t^{2}-10t+25-16=0$
$t^{2}-10t+9=0$
$t^{2}-1t-9t+9=0$
$t(t-1)-9(t-1)=0$
$(t-1)(t-9)=0$
$(t-1)=0$ or $(t-9)=0$
$t=1$ or $t=9$
Therefore, the solution set is {$1,9$}.
