document.write( "Question 623824: The product of two consecutive integers is 5 less than 5 times their sum. Find the integers \n" ); document.write( "

Algebra.Com's Answer #392372 by lwsshak3(11628) $\"\"$ $\"About$

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The product of two consecutive integers is 5 less than 5 times their sum. Find the integers
\n" ); document.write( "**
\n" ); document.write( "let x=first digit
\n" ); document.write( "x+1=consecutive digit
\n" ); document.write( "..
\n" ); document.write( "x(x+1)=5(x+x+1)-5
\n" ); document.write( "x^2+x=10x+5-5
\n" ); document.write( "x^2-9x=0
\n" ); document.write( "x(x-9)=0
\n" ); document.write( "x=0 (reject, not a solution)
\n" ); document.write( "or
\n" ); document.write( "x=9
\n" ); document.write( "x+1=10
\n" ); document.write( "first digit=9
\n" ); document.write( "consecutive digit=10 \n" ); document.write( "

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