Question 84162
First, factor the trinomial.
{{{t^2-2t+1 = (t-1)(t-1)}}} or {{{(t-1)^2}}} So...
{{{(t-1)^2 = 49}}} Take the square root of both sides.
{{{t-1 = 7}}} or {{{t-1 = -7}}} Add 1 to both sides of each equation.
{{{t = 8}}} or {{{t = -6}}}