document.write( "Question 965230: Please help me solve this equation: $\"sqrt%28x%29-sqrt%28x-2%29-1=0\"$ \n" ); document.write( "

Algebra.Com's Answer #589973 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"+sqrt%28x%29+-+sqrt%28+x-2+%29+-+1+=+0+\"$
\n" ); document.write( " $\"+sqrt%28x%29+=+sqrt%28+x-2+%29+%2B+1+\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"+x+=+%28+sqrt%28+x-2+%29+%2B+1+%29%5E2+\"$
\n" ); document.write( " $\"+x+=+x-2+%2B+2%2Asqrt%28+x-2+%29+%2B+1+\"$
\n" ); document.write( "subtract $\"+x+\"$ from both sides
\n" ); document.write( " $\"+0+=+-2+%2B+2%2Asqrt%28+x-2+%29+%2B+1+\"$
\n" ); document.write( " $\"+2%2Asqrt%28+x-2+%29+=+1+\"$
\n" ); document.write( " $\"+sqrt%28+x-2+%29+=+1%2F2+\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"+x+-+2+=+1%2F4+\"$
\n" ); document.write( " $\"+x+=+8%2F4+%2B+1%2F4+\"$
\n" ); document.write( " $\"+x+=+9%2F4+\"$
\n" ); document.write( "------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+sqrt%28x%29+-+sqrt%28+x-2+%29+-+1+=+0+\"$
\n" ); document.write( " $\"+sqrt%28+9%2F4+%29+-+sqrt%28+9%2F4+-+2+%29+-+1+=+0+\"$
\n" ); document.write( " $\"+3%2F2+-+sqrt%28+9%2F4+-+8%2F4+%29+-+1+=+0+\"$
\n" ); document.write( " $\"+3%2F2+-+sqrt%28+1%2F4+%29+-+1+=+0+\"$
\n" ); document.write( " $\"+3%2F2+-+1%2F2+-+2%2F2+=+0+\"$
\n" ); document.write( " $\"+3%2F2+-+3%2F2+=+0+\"$
\n" ); document.write( " $\"+0+=+0+\"$
\n" ); document.write( "OK\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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