document.write( "Question 309847: √x-3 = √x+2 - 1 \n" ); document.write( "

Algebra.Com's Answer #221655 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%28x-3%29+=+sqrt%28x%2B2%29+-+1\"$
\n" ); document.write( "Square both sides, FOIL the right side
\n" ); document.write( "x - 3 = $\"%28x%2B2%29+-+1sqrt%28x%2B2%29+-+1sqrt%28x%2B2%29+%2B+1\"$
\n" ); document.write( ":
\n" ); document.write( "x - 3 = $\"x+%2B+2+%2B+1+-+2sqrt%28x%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( "x - 3 = $\"x+%2B+3+-+2sqrt%28x%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( "x - 3 - x - 3 = $\"-2sqrt%28x%2B2%29\"$
\n" ); document.write( ":
\n" ); document.write( "-6 = $\"-2sqrt%28x%2B2%29\"$
\n" ); document.write( "Square both sides
\n" ); document.write( "36 = 4(x+2)
\n" ); document.write( ":
\n" ); document.write( "36 = 4x + 8
\n" ); document.write( ":
\n" ); document.write( "36 - 8 = 4x
\n" ); document.write( ":
\n" ); document.write( "28 = 4x
\n" ); document.write( "x = $\"28%2F4\"$
\n" ); document.write( "x = 7
\n" ); document.write( ":
\n" ); document.write( ";
\n" ); document.write( "Check solution in the original equation
\n" ); document.write( " $\"sqrt%287-3%29+=+sqrt%287%2B2%29+-+1\"$
\n" ); document.write( " $\"sqrt%284%29+=+sqrt%289%29+-+1\"$
\n" ); document.write( "2 = 3 - 1; confirms our solution \n" ); document.write( "

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