document.write( "Question 475656: Find two consecutive odd integers so that the square of the larger exceeds their product by 34. \n" ); document.write( "

Algebra.Com's Answer #326233 by htmentor(1343) $\"\"$ $\"About$

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Find two consecutive odd integers so that the square of the larger exceeds their product by 34.
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\n" ); document.write( "Let n and n+2 be the two consecutive odd integers.
\n" ); document.write( "The problem in equation form is:
\n" ); document.write( "(n+2)^2 = n(n+2) + 34
\n" ); document.write( "square of the larger = their product + 34
\n" ); document.write( "Simplify and solve for n:
\n" ); document.write( "n^2 + 4n + 4 = n^2 + 2n + 34
\n" ); document.write( "2n = 30
\n" ); document.write( "n = 15
\n" ); document.write( "So the two integers are 15 and 17. \n" ); document.write( "

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