document.write( "Question 97033: Square root of (2x+3) - square root of (x+1) = 1 \n" ); document.write( "

Algebra.Com's Answer #70630 by mathslover(157) $\"\"$ $\"About$

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$\"sqrt%282x%2B3%29\"$ - $\"sqrt%28x%2B1%29\"$ =1\r
\n" ); document.write( "\n" ); document.write( " $\"sqrt%282x%2B3%29\"$ = 1+ $\"sqrt%28x%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "squaring both sides of the equation we get\r
\n" ); document.write( "\n" ); document.write( "2x+3 = 1 + 2 $\"sqrt%28x%2B1%29\"$ + x+1\r
\n" ); document.write( "\n" ); document.write( "2x+3 -x -2 = 2 $\"sqrt%28x%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "x + 1 = 2 $\"sqrt%28x%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( "squaring both sides again \r
\n" ); document.write( "\n" ); document.write( "x^2 + 2x +1 = 4(x+1)
\n" ); document.write( "x^2 -2x -3 =0\r
\n" ); document.write( "\n" ); document.write( "Using $\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"$
\n" ); document.write( "we have
\n" ); document.write( " $\"x+=+%282+%2B-+sqrt%28+%28-2%29%5E2-4%2A1%2A%28-3%29+%29%29%2F%282%2A1%29+\"$
\n" ); document.write( "x= (2-4)/2 and (2+4)/2
\n" ); document.write( "x= -1 and 3 \n" ); document.write( "

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