document.write( "Question 1014158: Find two consecutive odd integers such that their product is 79 more than 8 times their sum. \n" ); document.write( "

Algebra.Com's Answer #630508 by macston(5194) $\"\"$ $\"About$

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\n" ); document.write( "x and x+2 are consecutive odd integers
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\n" ); document.write( " $\"%28x%29%28x%2B2%29=8%28x%2Bx%2B2%29%2B79\"$
\n" ); document.write( " $\"x%5E2%2B2x=8%282x%2B2%29%2B79\"$
\n" ); document.write( " $\"x%5E2%2B2x=16x%2B16%2B79\"$
\n" ); document.write( " $\"x%5E2%2B2x=16x%2B95\"$
\n" ); document.write( " $\"x%5E2-14x-95=0\"$
\n" ); document.write( " $\"%28x-19%29%28x%2B5%29=0\"$
\n" ); document.write( " $\"x-19=0\"$ $\"OR\"$ $\"x%2B5=0\"$
\n" ); document.write( " $\"x=19\"$ $\"OR\"$ $\"x=-5\"$
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\n" ); document.write( "ANSWER: The integers are 19 and 21 or -5 and -3.
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\n" ); document.write( "CHECK:
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\n" ); document.write( "For 19 and 21:
\n" ); document.write( " $\"%2819%29%2821%29=8%2819%2B21%29%2B79%0D%0A%7B%7B%7B399=8%2840%29%2B79\"$
\n" ); document.write( " $\"399=320%2B79\"$
\n" ); document.write( " $\"399=399\"$
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\n" ); document.write( "For -5 and -3:
\n" ); document.write( " $\"%28-5%29%28-3%29=8%28-5%2B%28-3%29%29%2B79\"$
\n" ); document.write( " $\"15=8%28-8%29%2B79\"$
\n" ); document.write( " $\"15=-64%2B79\"$
\n" ); document.write( " $\"15=15\"$
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