document.write( "Question 828432: The product of two consecutive odd integers is 22 more than 7 times the larger number. Use a quadratic equation to determine the two integers. \r
\n" ); document.write( "\n" ); document.write( "I was thinking it would look something like:
\n" ); document.write( "x(2+x) = 22 + 7(2+x)
\n" ); document.write( "x (2 +x) - 7(2+x)-22 = 0
\n" ); document.write( "x^2 + 9 - 36
\n" ); document.write( "which you would then factor to get the two numbers. The answer is 9 and 11. I am not sure how you get this answer. Thank you for your help! \n" ); document.write( "

Algebra.Com's Answer #499342 by MathTherapy(10552) $\"\"$ $\"About$

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\n" ); document.write( "The product of two consecutive odd integers is 22 more than 7 times the larger number. Use a quadratic equation to determine the two integers. \r
\n" ); document.write( "\n" ); document.write( "I was thinking it would look something like:
\n" ); document.write( "x(2+x) = 22 + 7(2+x)
\n" ); document.write( "x (2 +x) - 7(2+x)-22 = 0
\n" ); document.write( "x^2 + 9 - 36
\n" ); document.write( "which you would then factor to get the two numbers. The answer is 9 and 11. I am not sure how you get this answer. Thank you for your help!
\n" ); document.write( "


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document.write( "You're correct up to here: x(2 + x) - 7(2 + x) - 22 = 0
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document.write( " ----- Distributing
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document.write( " ----- COLLECTING like-terms
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document.write( " ------ COMBINING like-terms\r
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document.write( "Solving this quadratic equation should result in x either being \r
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document.write( "Note that x CANNOT be - 4, since the problem states that the integers are odd, and - 4 is NOT ODD. Therefore,
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document.write( "the solution, x = - 4 is ignored.\r
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document.write( "Since x, in this case is the smaller integer, and is 9, then other odd integer = 9 + 2, or 11. \r
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document.write( "Odd integers: 
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document.write( "You can do the check!! \r
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document.write( "If you need a complete and detailed solution, let me know!!\r
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document.write( "Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
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document.write( "Further help is available, online or in-person, for a fee, obviously. 
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