document.write( "Question 1043101: \"The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 160. Find the larger even integer.\" \n" ); document.write( "
Algebra.Com's Answer #658209 by MathTherapy(10557)\"\" \"About 
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\n" ); document.write( "\"The square of the sum of two consecutive positive even integers is greater than the sum of their squares by 160. Find the larger even integer.\"
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Let the larger integer be L
\n" ); document.write( "Then smaller is: L - 2
\n" ); document.write( "We then get: \"%28L+%2B+L+-+2%29%5E2+=+L%5E2+%2B+%28L+-+2%29%5E2+%2B+160\"
\n" ); document.write( "\"%282L+-+2%29%5E2+=+L%5E2+%2B+L%5E2+-+4L+%2B+4+%2B+160\"
\n" ); document.write( "\"4L%5E2+-+8L+%2B+4+=+2L%5E2+-+4L+%2B+164\"
\n" ); document.write( "\"4L%5E2+-+2L%5E2+-+8L+%2B+4L+%2B+4+-+164+=+0\"
\n" ); document.write( "\"2L%5E2+-+4L+-+160+=+0\"
\n" ); document.write( "\"2%28L%5E2+-+2L+-+80%29+=+2%280%29\"
\n" ); document.write( "\"L%5E2+-+2L+-+80+=+0\"
\n" ); document.write( "Factor this trinomial, set each factor equal to 0, and then obtain the value(s) for L, the larger integer.
\n" ); document.write( "Ignore the negative value, as L, or larger integer should be positive (> 0). \n" ); document.write( "
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