document.write( "Question 314753: How do you solve \"x=1%2B6sqrt%28x-9%29\"? \n" ); document.write( "
Algebra.Com's Answer #225105 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
\"x=1%2B6sqrt%28x-9%29\"
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document.write( "Isolate the radical term on the right\r\n" );
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document.write( "\"x-1=6sqrt%28x-9%29\"\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"%28x-1%29%5E2=%286sqrt%28x-9%29%29%5E2\"\r\n" );
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document.write( "\"%28x-1%29%28x-1%29=36%28x-9%29\"\r\n" );
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document.write( "\"x%5E2-x-x%2B1=36x-324\"\r\n" );
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document.write( "\"x%5E2-2x%2B1=36x-324\"\r\n" );
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document.write( "\"x%5E2-38x%2B325=0\"\r\n" );
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document.write( "\"%28x-25%29%28x-13%29=0\"\r\n" );
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document.write( "x-25=0       x-13=0\r\n" );
document.write( "   x=25         x=13\r\n" );
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document.write( "Checking x=25\r\n" );
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document.write( "\"x=1%2B6sqrt%28x-9%29\"\r\n" );
document.write( "\"25=1%2B6sqrt%2825-9%29\"\r\n" );
document.write( "\"25=1%2B6sqrt%2816%29\"\r\n" );
document.write( "\"25=1%2B6%2A4\"\r\n" );
document.write( "\"25=1%2B24\"\r\n" );
document.write( "\"25=25\"\r\n" );
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document.write( "So x=25 is a solution.\r\n" );
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document.write( "Checking x=13\r\n" );
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document.write( "\"x=1%2B6sqrt%28x-9%29\"\r\n" );
document.write( "\"13=1%2B6sqrt%2813-9%29\"\r\n" );
document.write( "\"13=1%2B6sqrt%284%29\"\r\n" );
document.write( "\"13=1%2B6%2A2\"\r\n" );
document.write( "\"13=1%2B12\"\r\n" );
document.write( "\"13=13\"\r\n" );
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document.write( "So x=13 is also a solution.\r\n" );
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document.write( "Edwin
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