document.write( "Question 1118753: Find values of n in the equation
\n" ); document.write( "2x^2 - 5(n-1)x +12=0 if the
\n" ); document.write( "two roots are consecutive. \n" ); document.write( "

Algebra.Com's Answer #734173 by josgarithmetic(39625) $\"\"$ $\"About$

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Looking at a few factorization trial combinations for the quadratic lead to
\n" ); document.write( " $\"%282x%2B4%29%28x%2B3%29=2x%5E2%2B%28-1%29%2A5%28n-1%29x%2B12=00\"$
\n" ); document.write( "and these roots are -3 and -2, which are consecutive integers.\r
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\n" ); document.write( "\n" ); document.write( "Steps from that and then compare to the given quadratic expression:
\n" ); document.write( " $\"%282x%2B4%29%28x%2B3%29\"$
\n" ); document.write( " $\"2x%5E2%2B4x%2B6x%2B12\"$
\n" ); document.write( " $\"2x%5E2%2B10x%2B12\"$
\n" ); document.write( "from which corresponding parts give
\n" ); document.write( " $\"-5%28n-1%29=10\"$ \r
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\n" ); document.write( "\n" ); document.write( "Find n from that last equation. \n" ); document.write( "

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