document.write( "Question 335892: the sum of the squares of two consecutive odd postive integers is 130. find the integers
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Algebra.Com's Answer #240918 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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the sum of the squares of two consecutive odd positive integers is 130.
\n" ); document.write( " find the integers
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\n" ); document.write( "Two consecutive odd integers, x and (x+2)
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\n" ); document.write( "x^2 + (x+2)^2 = 130
\n" ); document.write( "FOIL (x+2)(x+2)
\n" ); document.write( "x^2 + x^2 + 4x + 4 = 130
\n" ); document.write( "Forms a quadratic equation
\n" ); document.write( "2x^2 + 4x + 4 - 130 = 0
\n" ); document.write( "2x^2 + 4x - 126 = 0
\n" ); document.write( "Factors to:
\n" ); document.write( "(2x + 18)(x - 7) = 0
\n" ); document.write( "The positive solution is all we want here
\n" ); document.write( "x = 7, 9 are the two consecutive odd positive integers
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\n" ); document.write( "7^2 + 9^2 = 130
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