document.write( "Question 238489: Find three consecutive numbers where the product of the smaller two numbers is 37 less the square of the largest number. \r
\n" ); document.write( "\n" ); document.write( "Thank you!
\n" ); document.write( "

Algebra.Com's Answer #175196 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find three consecutive numbers where the product of the smaller two numbers is 37 less the square of the largest number.
\n" ); document.write( "---
\n" ); document.write( "1st: x-1
\n" ); document.write( "2nd: x
\n" ); document.write( "3rd: x+1
\n" ); document.write( "---------------
\n" ); document.write( "Equation:
\n" ); document.write( "x(x-1) = (x+1)^2 - 37
\n" ); document.write( "---
\n" ); document.write( "x^2-x = x^2+2x+1 - 37
\n" ); document.write( "-x = 2x-36
\n" ); document.write( "3x = 36
\n" ); document.write( "x = 12
\n" ); document.write( "-------------
\n" ); document.write( "1st: x-1 = 11
\n" ); document.write( "2nd: x = 12
\n" ); document.write( "3rd: x+1 = 13
\n" ); document.write( "=====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );