document.write( "Question 83949: Solve the equation. Show work.
\n" ); document.write( "sqrt 2x + 5 - sqrt x-2 = 3 \n" ); document.write( "

Algebra.Com's Answer #60419 by Nate(3500) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"sqrt%282x+%2B+5%29+-+sqrt%28x+-+2%29+=+3\"$
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\n" ); document.write( " $\"sqrt%282x+%2B+5%29+=+3+%2B+sqrt%28x+-+2%29\"$
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\n" ); document.write( " $\"sqrt%282x+%2B+5%29%5E2+=+%283+%2B+sqrt%28x+-+2%29%29%5E2\"$
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\n" ); document.write( " $\"2x+%2B+5+=+9+%2B+6%2Asqrt%28x+-+2%29+%2B+x+-+2\"$
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\n" ); document.write( " $\"x+-+2+=+6%2Asqrt%28x+-+2%29\"$
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\n" ); document.write( " $\"%28x+-+2%29%2F6+=+sqrt%28x+-+2%29\"$
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\n" ); document.write( " $\"%28%28x+-+2%29%2F6%29%5E2+=+sqrt%28x+-+2%29%5E2\"$
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\n" ); document.write( " $\"%28x%5E2+-+4x+%2B+4%29%2F36+=+x+-+2\"$
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\n" ); document.write( " $\"x%5E2+-+4x+%2B+4+=+36x+-+72\"$
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\n" ); document.write( " $\"x%5E2+-+40x+%2B+76+=+0\"$
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\n" ); document.write( " $\"%28x+-+38%29%28x+-+2%29+=+0\"$
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\n" ); document.write( " $\"x+=+38\"$ and $\"x+=+2\"$ ~ After checking, they both work.... \n" ); document.write( "

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