document.write( "Question 531612: The Sum of the squares of two consecutive odd integers is 74. Find the integers.
\n" ); document.write( "I have found the integers, 5 and 7. but i must solve it algebraically. Can you help?
\n" ); document.write( "thank you!:) \n" ); document.write( "
Algebra.Com's Answer #350528 by stanbon(75887)\"\" \"About 
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The Sum of the squares of two consecutive odd integers is 74. Find the integers.
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\n" ); document.write( "1st odd: 2x-1
\n" ); document.write( "2nd odd: 2x+1
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\n" ); document.write( "Equation:
\n" ); document.write( "(2x-1)^2 + (2x+1)^2 = 74
\n" ); document.write( "4x^2-4x+1 + 4x^2+4x+1 = 74
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\n" ); document.write( "8x^2+2 = 74
\n" ); document.write( "8x^2 = 72
\n" ); document.write( "x^2 = 9
\n" ); document.write( "x = 3 or x = -3
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\n" ); document.write( "If x = 3,
\n" ); document.write( "1st: 2x-1 = 5
\n" ); document.write( "2nd: 2x+1 = 7
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\n" ); document.write( "If x = -3,
\n" ); document.write( "1st: 2x-1 = -7
\n" ); document.write( "2nd: 2x+1 = -5
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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