document.write( "Question 747677: I would like some help on a problem concerning quadratic equations. Here is the problem. There are three consecutive numbers. When the largest one is squared, it is equal to 18 more than 9 times the smallest number. x^2+4x+4=9x+18. Please explain thoroughly and clearly, as I am in a deep fix. Can you also give me the three consecutive numbers? Thank you in advance \n" ); document.write( "

Algebra.Com's Answer #455056 by stanbon(75887) $\"\"$ $\"About$

You can put this solution on YOUR website!
There are three consecutive numbers. When the largest one is squared, it is equal to 18 more than 9 times the smallest number. \r
\n" ); document.write( "\n" ); document.write( " Please explain thoroughly and clearly, as I am in a deep fix. Can you also give me the three consecutive numbers?
\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+1)^2 = 9(x-1)+18
\n" ); document.write( "x^2 + 2x + 1 = 9x-9+18
\n" ); document.write( "x^2 -7x -8 = 0
\n" ); document.write( "---------
\n" ); document.write( "(x-8)(x+1) = 0
\n" ); document.write( "---
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 8
\n" ); document.write( "---
\n" ); document.write( "1st: x-1 = 7
\n" ); document.write( "2nd: x = 8
\n" ); document.write( "3rd: x+1 = 9
\n" ); document.write( "================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "

\n" );