Question 130202
{{{(2t-3)^2 = 36}}}
take the square roots of both sides
{{{2t - 3 = 6}}}
and
{{{2t - 3 = -6}}}
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{{{2t - 3 = 6}}}
{{{2t = 9}}}
{{{t = 9/2}}} answer
and
{{{2t - 3 = -6}}}
{{{2t = -3}}}
{{{t = -(3/2)}}} answer
check the answers
{{{(2t-3)^2 = 36}}}
{{{(2*(9/2) - 3)^2 = 36}}}
{{{(9 - 3)^2 = 36}}}
{{{6^2 = 36}}}
{{{36 = 36}}}
OK
{{{(2*(-3/2) - 3)^2 = 36}}}
{{{(-3 - 3)^2 = 36}}}
{{{(-6)^2 = 36}}}
{{{36 = 36}}}
OK