document.write( "Question 316952: Find three consecutive odd whole numbers such that the sum of their squares is a four-digit whole number whose digits are all the same.\r
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Algebra.Com's Answer #226904 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Find three consecutive odd whole numbers such that the sum of their squares is a four-digit whole number whose digits are all the same
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\n" ); document.write( "Three consecutive odd numbers x, (x+2), (x+4); resulting 4 number digit = y
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\n" ); document.write( "x^2 + (x+2)^2 + (x+4)^2 = 1000y+100y+10y+y
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\n" ); document.write( "x^2 + x^2+4x+4 + x^2+8x+16 = 1111y
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\n" ); document.write( "x^2 + x^2 + x^2 + 4x + 8x + 4 + 16 = 1111y
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\n" ); document.write( "3x^2 + 12x + 20 = 1111y
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\n" ); document.write( "y = $\"%283x%5E2%2B12x%2B20%29%2F1111\"$
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\n" ); document.write( "Find the value for x which gives an integer value to y (the table of a TI83 was a great help!)
\n" ); document.write( "x=41, y=5
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\n" ); document.write( "41^2 + 43^2 + 45^2 = 5555 \n" ); document.write( "

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