document.write( "Question 24451: x - square root of x=0 \n" ); document.write( "
Algebra.Com's Answer #13021 by AnlytcPhil(1806)\"\" \"About 
You can put this solution on YOUR website!
x - square root of x = 0 \r\n" );
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document.write( "    x - Öx = 0\r\n" );
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document.write( "Isolate the radical term\r\n" );
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document.write( "         x = Öx\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "      (x)2 = (Öx)2\r\n" );
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document.write( "        x2 = x\r\n" );
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document.write( " Get 0 on right by subtracting x from both sides\r\n" );
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document.write( "    x2 - x = 0\r\n" );
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document.write( "Factor left side\r\n" );
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document.write( "  x(x - 1) = 0\r\n" );
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document.write( "Set each factor = 0\r\n" );
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document.write( "x = 0 is its own solution\r\n" );
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document.write( "x - 1 = 0 which has solution x = 1\r\n" );
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document.write( "Now we must always check the answers to radical problems to \r\n" );
document.write( "make sure they are solutions.\r\n" );
document.write( "Checking x = 0\r\n" );
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document.write( "    x - Öx = 0\r\n" );
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document.write( "    0 - Ö0 = 0\r\n" );
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document.write( "        0 = 0 \r\n" );
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document.write( "Checking x = 1\r\n" );
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document.write( "    x - Öx = 0\r\n" );
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document.write( "    1 - Ö1 = 0\r\n" );
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document.write( "        0 = 0\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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