Question 274391
Let n = the number.
{{{(n+5)^2 = 36}}} Take the square root of both sides. You'll get a positive and a negative solution.
{{{n+5 = 6}}} or {{{n+5 = -6}}} Subtract 5 from both sides in each solution.
{{{highlight(n = 1)}}} or {{{highlight(n = -11)}}}
Check:
{{{(n+5)^2 = 36}}} Substitute n = 1.
{{{(1+5)^2 = 36}}}
{{{6^2 = 36}}}
{{{36 = 36}}}
{{{(n+5)^2 = 35}}} Substitute n = -11.
{{{(-11+5)^2 = 36}}}
{{{(-6)^2 = 36}}}
{{{36 = 36}}}