document.write( "Question 407972: Solve for x\r
\n" ); document.write( "\n" ); document.write( "\"sqrt%28x-12%29+%2B+sqrt%28x%2B3%29+=+5\"\r
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\n" ); document.write( "\n" ); document.write( "Thank you so much for helping me grasp this!! \r
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Algebra.Com's Answer #287475 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"sqrt%28x-12%29+%2B+sqrt%28x%2B3%29+=+5\"\r\n" );
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document.write( "Isolate one of the radical terms:\r\n" );
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document.write( "\"sqrt%28x-12%29+=+5+-+sqrt%28x%2B3%29\"\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"%28sqrt%28x-12%29%29%5E2+=+%285+-+sqrt%28x%2B3%29%29%5E2\"\r\n" );
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document.write( "\"x-12++=+%285-sqrt%28x%2B3%29%29%285-sqrt%28x%2B3%29%29\"\r\n" );
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document.write( "\"x-12++=+25-5sqrt%28x%2B3%29-5sqrt%28x%2B3%29%2B%28sqrt%28x%2B3%29%29%5E2\"\r\n" );
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document.write( "\"x-12++=+25-10sqrt%28x%2B3%29%2Bx%2B3\"\r\n" );
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document.write( "\"x-12++=+28-10sqrt%28x%2B3%29%2Bx\"\r\n" );
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document.write( "Isolate the radical term:\r\n" );
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document.write( "\"10sqrt%28x%2B3%29=+40\"\r\n" );
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document.write( "Divide both sides by 10\r\n" );
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document.write( "\"sqrt%28x%2B3%29=+4\"\r\n" );
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document.write( "Square both sides:\r\n" );
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document.write( "\"%28sqrt%28x%2B3%29%29%5E2=4%5E2\"\r\n" );
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document.write( "\"x%2B3=16\"\r\n" );
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document.write( "\"x=13\"\r\n" );
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document.write( "You must always check a radical equation:\r\n" );
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document.write( "\"sqrt%28x-12%29+%2B+sqrt%28x%2B3%29+=+5\"\r\n" );
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document.write( "\"sqrt%2813-12%29+%2B+sqrt%2813%2B3%29+=+5\"\r\n" );
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document.write( "\"sqrt%281%29+%2B+sqrt%2816%29+=+5\"\r\n" );
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document.write( "\"1+%2B+4+=+5\"\r\n" );
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document.write( "\"5=5\"\r\n" );
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document.write( "It checks so the solution is x=13\r\n" );
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document.write( "Edwin
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