document.write( "Question 795749: 4. The Product of two consecutive odd integers is 58 less than the square of the next consecutive odd integer. Find the 3 integers. \n" ); document.write( "

Algebra.Com's Answer #481136 by josgarithmetic(39627) $\"\"$ $\"About$

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Let n be any integer.
\n" ); document.write( "The needed integers are 2n+1, 2n+3, 2n+5.\r
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\n" ); document.write( "\n" ); document.write( " $\"%282n%2B1%29%282n%2B3%29=-58%2B%282n%2B5%29%5E2\"$ is the translated description.\r
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\n" ); document.write( "\n" ); document.write( "Simplify and solve for n.\r
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\n" ); document.write( "\n" ); document.write( "I omit the steps. You might think that a quadratic equation occur, but the n^2 term will be eliminated, and you will find ....
\n" ); document.write( " $\"n=3\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The three integers are :
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\n" ); document.write( "2*3+1=7
\n" ); document.write( "9
\n" ); document.write( "and
\n" ); document.write( "11
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