document.write( "Question 1142356: If I add 14 to my house number, the sum is a perfect square. If I subtract 14 from my
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Algebra.Com's Answer #763079 by math_helper(2461) $\"\"$ $\"About$

You can put this solution on YOUR website!


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document.write( "house number = 50\r
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document.write( "-----\r
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document.write( "the work out:\r
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document.write( "Subtracting:
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document.write( "   n>m;  n,m  integers\r
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document.write( "28 is 1*28, 2*14, or 4*7\r
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document.write( "Case 1:
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document.write( "  n-m = 1
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document.write( "  n+m = 28\r
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document.write( "(adding): 2n = 29   non-integer solution, no good\r
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document.write( "Case 2:
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document.write( "  n-m = 2
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document.write( "  n+m = 14\r
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document.write( "   2n = 16  -->  n=8 --> m=6  this solution works\r
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document.write( "Case 3:
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document.write( "   n-m = 4
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document.write( "   n+m = 7\r
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document.write( "   2n = 11   non-integer solution, no good\r
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document.write( "Using case 2, and :
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document.write( "     -->  x = 50\r
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document.write( "Check using :
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document.write( "     (ok)  \n" );
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