document.write( "Question 1014284: Find two consecutive odd integers such that their product is 35 more than 8 times their sum. \n" ); document.write( "
Algebra.Com's Answer #630614 by MathTherapy(10552)\"\" \"About 
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Find two consecutive odd integers such that their product is 35 more than 8 times their sum.
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Let smaller integer be S
\n" ); document.write( "Then larger is: S + 2
\n" ); document.write( "We then get: S(S + 2) = 8(S + S + 2) + 35
\n" ); document.write( "\"S%5E2+%2B+2S+=+8%282S+%2B+2%29+%2B+35\"
\n" ); document.write( "\"S%5E2+%2B+2S+=+16S+%2B+16+%2B+35\"
\n" ); document.write( "\"S%5E2+%2B+2S+-+16S+-+51+=+0\"
\n" ); document.write( "\"S%5E2++-+14S+-+51+=+0\"
\n" ); document.write( "(S - 17)(S + 3) = 0 ------- Factoring the above trinomial
\n" ); document.write( "Smaller integer, or S = 17 OR S = - 3\r
\n" ); document.write( "\n" ); document.write( "If the smaller integer = \"highlight%28highlight_green%28highlight%2817%29%29%29\", then larger integer = 17 + 2, or \"highlight%28highlight_green%28highlight%2819%29%29%29\"
\n" ); document.write( "However, if the smaller integer = \"highlight%28highlight_green%28highlight%28-+3%29%29%29\", then larger integer = - 3 + 2, or \"highlight%28highlight_green%28highlight%28-+1%29%29%29\" \n" ); document.write( "
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