document.write( "Question 682185: What is the soulution to this word problem??
\n" ); document.write( "The sum of the squares of two consecutive integer positive odd integers is equal to one hundred thirty. Find two integers. \n" ); document.write( "

Algebra.Com's Answer #423074 by stanbon(75887) $\"\"$ $\"About$

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The sum of the squares of two consecutive integer positive odd integers is equal to one hundred thirty. Find two integers.
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\n" ); document.write( "1st: 2x-1
\n" ); document.write( "2nd: 2x+1
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\n" ); document.write( "Equation:
\n" ); document.write( "(2x-1)^2 + (2x+1)^2 = 130
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\n" ); document.write( "4x^2 - 4x + 1 + 4x^2 + 4x + 1 = 130
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\n" ); document.write( "8x^2 = 128
\n" ); document.write( "---
\n" ); document.write( "8(x^2 - 16) = 0
\n" ); document.write( "(x-4)(x+4) = 0
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\n" ); document.write( "x = 4 or x = -4
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\n" ); document.write( "If x = 4:
\n" ); document.write( "2x-1 = 7
\n" ); document.write( "2x+1 = 9
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\n" ); document.write( "If x = -4
\n" ); document.write( "2x-1 = -9
\n" ); document.write( "2x+1 = -7
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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