document.write( "Question 367892: $\"+sqrt+x%2B2+-+sqrt+x-3+=+1+\"$ \n" ); document.write( "

Algebra.Com's Answer #262248 by robertb(5830) $\"\"$ $\"About$

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$\"+sqrt%28+x%2B2%29+-+sqrt+%28x-3%29+=+1+\"$
\n" ); document.write( " $\"+sqrt+%28x%2B2%29+=+sqrt+%28x-3%29+%2B1+\"$ ,
\n" ); document.write( " $\"x%2B2+=+x-3%2B2%2Asqrt%28x-3%29+%2B+1\"$ , after squaring both sides.
\n" ); document.write( " $\"4+=+2%2Asqrt%28x-3%29\"$ , after transposition and cancellation.
\n" ); document.write( " $\"2+=+sqrt%28x-3%29\"$ ,
\n" ); document.write( "4 = x-3, after squaring again, or
\n" ); document.write( "x = 7. This value satisfies the original equation, so this is the final answer. \n" ); document.write( "

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