document.write( "Question 33877: sqrt(2x-5)-sqrt(x-3)=1 \n" ); document.write( "
Algebra.Com's Answer #853699 by MathTherapy(10692)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "sqrt(2x-5)-sqrt(x-3)=1\r\n" );
document.write( "======================\r\n" );
document.write( "Whatever the other person who responded did, doesn't make sense, at all, to this author. Yet,\r\n" );
document.write( "it's quite surprising that he/she got one of the solutions. But, there's another one!\r\n" );
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document.write( "  \"sqrt%282x+-+5%29+-+sqrt%28x+-+3%29+=+1\", with \"x+%3E=+3\"  \r\n" );
document.write( "          \"sqrt%282x+-+5%29+=+1+%2B+sqrt%28x+-+3%29\" ----- Adding \"sqrt%28x+-+3%29\" to both sides\r\n" );
document.write( "       \"%28sqrt%282x+-+5%29%29%5E2+=+1%5E2+%2B+2sqrt%28x+-+3%29+%2B+%28sqrt%28x+-+3%29%29%5E2\"\r\n" );
document.write( "            \"2x+-+5+=+1+%2B+2sqrt%28x+-+3%29+%2B+x+-+3\"\r\n" );
document.write( "            \"2x+-+5+=+2sqrt%28x+-+3%29+%2B+x+-+2\"\r\n" );
document.write( "      \"2x+-+5+-+x+%2B+2+=+2sqrt%28x+-+3%29\"\r\n" );
document.write( "             \"x+-+3+=+2sqrt%28x+-+3%29\"\r\n" );
document.write( "           \"%28x+-+3%29%5E2+=+%282sqrt%28x+-+3%29%29%5E2\" ---- Squaring each side\r\n" );
document.write( "        \"x%5E2+-+6x+%2B+9+=+4%28x+-+3%29\"\r\n" );
document.write( "        \"x%5E2+-+6x+%2B+9+=+4x+-+12\"\r\n" );
document.write( "\"x%5E2+-+6x+%2B+9+-+4x+%2B+12+=+0\"\r\n" );
document.write( "     \"x%5E2+-+10x+%2B+21+=+0\"\r\n" );
document.write( "  (x - 7)(x - 3) = 0\r\n" );
document.write( "   x - 7 = 0     OR    x - 3 = 0\r\n" );
document.write( "      x = 7    OR      x = 3\r\n" );
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document.write( "As 7 > 3 and 3 = 3, the above constraint, \"x+%3E=+3\" is satisfied. Therefore, both solutions are ACCEPTABLE!!
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