document.write( "Question 331857: If the difference between the squares of two consecutive even integers is the same as four less then the product of the integers what is one of the integers? \n" ); document.write( "
Algebra.Com's Answer #237866 by ankor@dixie-net.com(22740)\"\" \"About 
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Two integers, x, (x+2)
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\n" ); document.write( "If the difference between the squares of two consecutive even integers is
\n" ); document.write( " the same as four less then the product of the integers
\n" ); document.write( "(x+2)^2 - x^2 = x(x+2) - 4
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\n" ); document.write( "x^2 + 4x + 4 - x^2 = x^2 + 2x - 4
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\n" ); document.write( "4x + 4 = x^2 + 2x - 4
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\n" ); document.write( "0 = x^2 + 2x - 4x - 4 - 4
\n" ); document.write( "Solve a quadratic equation
\n" ); document.write( "x^2 - 2x - 8 = 0
\n" ); document.write( "Factors to
\n" ); document.write( "(x-4)(x+2) = 0
\n" ); document.write( "Two solutions
\n" ); document.write( "x = 4, 6 are the two integers they want
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\n" ); document.write( "x = -2, 0; not sure if these qualify
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\n" ); document.write( "See if this flies
\n" ); document.write( "4, 6
\n" ); document.write( "6^2 - 4^2 = 4(6) - 4
\n" ); document.write( "36 - 16 = 24 - 4; OK
\n" ); document.write( "and
\n" ); document.write( "-2, 0
\n" ); document.write( "0 - 4 = 0 - 4; \r
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