document.write( "Question 78886: square root of y+10-(minus) square root of y-2 =2 \n" ); document.write( "

Algebra.Com's Answer #56641 by tutor_paul(519) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28y%2B10%29-sqrt%28y-2%29=2\"$
\n" ); document.write( "As a first step, get the square roots on either side of the equation as a prelude to squaring both sides...
\n" ); document.write( " $\"sqrt%28y%2B10%29=2%2Bsqrt%28y-2%29\"$
\n" ); document.write( "Now, square both sides - recall how to square a binomial:
\n" ); document.write( " $\"y%2B10=4%2B4sqrt%28y-2%29%2By-2\"$
\n" ); document.write( "The single y's on each side of the equation cancel, so you have:
\n" ); document.write( " $\"10=2%2B4sqrt%28y-2%29\"$
\n" ); document.write( "Now, get the sqrt alone on one side:
\n" ); document.write( " $\"4sqrt%28y-2%29=8\"$
\n" ); document.write( " $\"sqrt%28y-2%29=2\"$
\n" ); document.write( "Square both sides:
\n" ); document.write( " $\"y-2=4\"$
\n" ); document.write( " $\"highlight%28y=6%29\"$
\n" ); document.write( "Good Luck,
\n" ); document.write( "tutor_paul@yahoo.com \n" ); document.write( "

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