document.write( "Question 697461: Find the two consecutive positive integer such that the sum of their squares is 145. \n" ); document.write( "
Algebra.Com's Answer #430034 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
Find the two consecutive positive integer such that the sum of their squares is 145.
\n" ); document.write( "---
\n" ); document.write( "1st: x
\n" ); document.write( "2nd: x+1
\n" ); document.write( "---
\n" ); document.write( "Equation:
\n" ); document.write( "x^2 + (x+1)^2 = 145
\n" ); document.write( "x^2 + x^2 + 2x + 1 = 145
\n" ); document.write( "2x^2 + 2x - 144 = 0
\n" ); document.write( "x^2 + x - 72 = 0
\n" ); document.write( "Factor:
\n" ); document.write( "(x+9)(x-8) = 0
\n" ); document.write( "Positive solution:
\n" ); document.write( "x = 8
\n" ); document.write( "x+1 = 9
\n" ); document.write( "=============
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );