document.write( "Question 281263: Find two consecutive odd integers such that the square of the first, added to 3 times the second, is 24\r
\n" ); document.write( "\n" ); document.write( "must be solved with quadratic formula and/or by factoring. explain and show work\r
\n" ); document.write( "\n" ); document.write( "thanks(: \n" ); document.write( "

Algebra.Com's Answer #204304 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Th integers r
\n" ); document.write( " $\"n\"$ and
\n" ); document.write( " $\"n+%2B+2\"$
\n" ); document.write( "given:
\n" ); document.write( " $\"n%5E2+%2B+3%2A%28n+%2B+2%29+=+24\"$
\n" ); document.write( " $\"n%5E2+%2B+3n+%2B+6+-+24+=+0\"$
\n" ); document.write( " $\"n%5E2+%2B+3n+-+18+=+0\"$
\n" ); document.write( " $\"%28n+%2B+6%29%2A%28n+-+3%29+=+0\"$
\n" ); document.write( " $\"n+=+-6\"$ (can't be minus)
\n" ); document.write( " $\"n+=+3\"$
\n" ); document.write( " $\"n+%2B+2+=+5\"$
\n" ); document.write( "The numbers are 3 and 5
\n" ); document.write( "check:
\n" ); document.write( " $\"n%5E2+%2B+3%2A%28n+%2B+2%29+=+24\"$
\n" ); document.write( " $\"3%5E2+%2B+3%2A5+=+24\"$
\n" ); document.write( " $\"9+%2B+15+=+24\"$
\n" ); document.write( " $\"24+=+24\"$
\n" ); document.write( "OK \n" ); document.write( "

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