document.write( "Question 45329: The sum of the squares of two consecutive even integers is 52. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #30066 by tutmath(14)\"\" \"About 
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Let the first even integer be denoted by x
\n" ); document.write( "Then the next consecutive even integer will be (x + 2)\r
\n" ); document.write( "\n" ); document.write( "The problem states that the sum of their squares is 52\r
\n" ); document.write( "\n" ); document.write( "x^2 + (x + 2)^2 = 52\r
\n" ); document.write( "\n" ); document.write( "x^2 + x^2 + 4x + 4 = 52\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 4x - 48 = 0\r
\n" ); document.write( "\n" ); document.write( "(You can also solve using the quadratic formula or by the method below)\r
\n" ); document.write( "\n" ); document.write( "2x^2 + 12x - 8x - 48 = 0 \r
\n" ); document.write( "\n" ); document.write( "2x(x + 6) - 8 (x + 6) = 0\r
\n" ); document.write( "\n" ); document.write( "(2x - 8)(x + 6) = 0\r
\n" ); document.write( "\n" ); document.write( "x = 8/2 = 4 or x = -6\r
\n" ); document.write( "\n" ); document.write( "If x = 4, then the next consecutive even integer is x + 2 = 6\r
\n" ); document.write( "\n" ); document.write( "If x = -6, then the next consecutive even integer is x + 2 = -4\r
\n" ); document.write( "\n" ); document.write( "If the integers are positive, the solution is only 4 and 6.
\n" ); document.write( "Otherwise, -4 and -6 is also a possible solution.\r
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\n" ); document.write( "\n" ); document.write( "(If you have any questions regarding the solution you can ask me at tutmath@gmail.com)
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