document.write( "Question 707329: How would you solve this equation?\r
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Algebra.Com's Answer #853931 by MathTherapy(10801)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "How would you solve this equation?\r\n" );
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document.write( "\"+sqrt+%28+2x+%29+=+sqrt+%28+3x%2B12+%29-2+\"\r\n" );
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document.write( "The other person's response, that \"You get -10+6i or -10-6i (complex results)\", is WRONG11\r\n" );
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document.write( "\"sqrt%282x%29+=+sqrt%283x%2B12%29+-+2\"\r\n" );
document.write( "As the smaller radicand, 2x MUST be greater than or equal to 0, we get: \"2x+%3E=+0\". So, \"x+%3E=+0\".  \r\n" );
document.write( "This gives us:      \"sqrt%282x%29+=+sqrt%283x%2B12%29+-+2\", with \"x+%3E=+0\"\r\n" );
document.write( "                         \"%28sqrt%282x%29%29%5E2+=+%28sqrt%283x+%2B+12%29+-+2%29%5E2\" ---- Squaring both sides\r\n" );
document.write( "                               \"2x+=+3x+%2B+12+-+4sqrt%283x+%2B+12%29+%2B+4\"\r\n" );
document.write( "                    \"4sqrt%283x+%2B+12%29+=+3x+%2B+12+%2B+4+-+2x\"\r\n" );
document.write( "                    \"4sqrt%283x+%2B+12%29+=+x+%2B+16\"\r\n" );
document.write( "                  \"16%283x+%2B+12%29+=+x%5E2+%2B+32x+%2B+256\" ----- Squaring both sides\r\n" );
document.write( "                     \"48x+%2B+192+=+x%5E2+%2B+32x+%2B+256\"\r\n" );
document.write( "\"x%5E2+%2B+32x+%2B+256+-+48x+-+192+=+0\"\r\n" );
document.write( "                 \"x%5E2+-+16x+%2B+64+=+0\"\r\n" );
document.write( "                        \"%28x+-+8%29%5E2+=+0\"\r\n" );
document.write( "                          x - 8 = 0.\r\n" );
document.write( "                               \"highlight%28x+=+8%29\" <==== VALID, and ACCEPTABLE solution for x, in THIS case!!
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