document.write( "Question 325632: The product of two positive consecutive integers is 41 more than their sum. Find the integers. \r
\n" ); document.write( "\n" ); document.write( "(I have gotten this far, but do not know how to show the next step.)\r
\n" ); document.write( "\n" ); document.write( "first integer = x
\n" ); document.write( "second integer = x+1
\n" ); document.write( "+ 41 more their sum =
\n" ); document.write( "=
\n" ); document.write( "x(x+1) = 41 + x + x + 1
\n" ); document.write( "=
\n" ); document.write( "x^2 + x = 42 + 2x
\n" ); document.write( "=
\n" ); document.write( "x^2 + x - (2x) = 42 + 2x - (2x)
\n" ); document.write( "=
\n" ); document.write( "x^2 - x = 42
\n" ); document.write( "=
\n" ); document.write( "x^2 - x - (42) = 42 - (42)
\n" ); document.write( "=
\n" ); document.write( "x^2 - x - 42 = 0
\n" ); document.write( "= ??????\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #233147 by JBarnum(2146) $\"\"$ $\"About$

You can put this solution on YOUR website!
find 2 numbers that multiply to get 42 and add to get -1
\n" ); document.write( "-7 and +6 -7*6=-42 -7+6=-1
\n" ); document.write( "(x-7)(x+6)=0
\n" ); document.write( "x=7,-6
\n" ); document.write( "since x has to be possitive
\n" ); document.write( "then the numbers have to be 7,8 \n" ); document.write( "

\n" );