document.write( "Question 851631: the sum of the reciprocals of two consecutive even integers is 21/220. find the two integers. \n" ); document.write( "
Algebra.Com's Answer #512879 by ewatrrr(24785)\"\" \"About 
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\n" ); document.write( "Hi,
\n" ); document.write( "two consecutive even integers: x and (x+2)
\n" ); document.write( "Question States***
\n" ); document.write( "\"1%2Fx+%2B+1%2F%28x%2B2%29+=+21%2F220\"
\n" ); document.write( " \"%282x%2B2%29%2Fx%28x%2B2%29+=+21%2F220\" | Cross Multiplying
\n" ); document.write( " 220(2x+2) = 21(x^2 + 2x)
\n" ); document.write( " x^2 - 398x - 440 = 0
\n" ); document.write( "\"x+=+%28398+%2B-+sqrt%28+195364%29%29%2F%2842%29+\"
\n" ); document.write( " \"x+=+%28398+%2B-+sqrt%28+442%29%29%2F%2842%29+\" (Tossing out the negative solution for unit measure)
\n" ); document.write( " x = 20, two consecutive even integers are; 20, 22
\n" ); document.write( "CHECKING our answer***
\n" ); document.write( "\"1%2F20+%2B+1%2F22+=+42%2F440+=+21%2F220\"
\n" ); document.write( "Wish You the Best in your Studies.
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