<PRE><B>Question 448739</B>
{{{sqrt(x + 3) = -5}}}
Square both sides in order to get rid of the square root: {{{(sqrt(x + 3))^2 = (-5)^2}}}
Simplify: x + 3 = 25
Subtract 3 from both sides: x = 22
CHECK SOLUTION (VITAL for these types of problems):
{{{sqrt(x + 3) = -5}}}
{{{sqrt(22 + 3) = -5}}}
{{{sqrt(25) = -5}}}
5 = -5
This is FALSE (technically, {{{sqrt(25)}}} could be seen as -5, but commonly--in order to avoid confusion--this square root is used to denote the positive square root, and {{{-sqrt(25)}}} would be used to denote -5).
Therefore, there is NO SOLUTION to this problem.</PRE>