document.write( "Question 149973: square root of T+3 minus the square root of T-2 equals the square root of 7-T \n" ); document.write( "

Algebra.Com's Answer #110117 by Fombitz(32388) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28T%2B3%29-sqrt%28T-2%29=sqrt%287-T%29\"$
\n" ); document.write( "First, square both sides.
\n" ); document.write( "

\n" ); document.write( " $\"%28T%2B3%29-2sqrt%28%28T%2B3%29%28T-2%29%29%2B%28T-2%29=7-T\"$
\n" ); document.write( " $\"%282T%2B1%29-2sqrt%28%28T%2B3%29%28T-2%29%29=-T%2B7\"$
\n" ); document.write( " $\"-2sqrt%28%28T%2B3%29%28T-2%29%29=-3T%2B6\"$
\n" ); document.write( "Square both sides.
\n" ); document.write( " $\"4%28T%2B3%29%28T-2%29=9T%5E2-36T%2B36\"$
\n" ); document.write( " $\"4%28T%5E2%2BT-6%29=9T%5E2-36T%2B36\"$
\n" ); document.write( " $\"4T%5E2%2B4T-24=9T%5E2-36T%2B36\"$
\n" ); document.write( " $\"5T%5E2-40T%2B60=0\"$
\n" ); document.write( " $\"T%5E2-8T%2B12=0\"$
\n" ); document.write( " $\"%28T-2%29%28T-6%29=0\"$
\n" ); document.write( "First solution
\n" ); document.write( " $\"T-2=0\"$
\n" ); document.write( " $\"T=2\"$
\n" ); document.write( "Second solution
\n" ); document.write( " $\"T-6=0\"$
\n" ); document.write( " $\"T=6\"$
\n" ); document.write( " \n" ); document.write( "

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