Question 78886
{{{sqrt(y+10)-sqrt(y-2)=2}}}
As a first step, get the square roots on either side of the equation as a prelude to squaring both sides...
{{{sqrt(y+10)=2+sqrt(y-2)}}}
Now, square both sides - recall how to square a binomial:
{{{y+10=4+4sqrt(y-2)+y-2}}}
The single y's on each side of the equation cancel, so you have:
{{{10=2+4sqrt(y-2)}}}
Now, get the sqrt alone on one side:
{{{4sqrt(y-2)=8}}}
{{{sqrt(y-2)=2}}}
Square both sides:
{{{y-2=4}}}
{{{highlight(y=6)}}}
Good Luck,
tutor_paul@yahoo.com