document.write( "Question 36351: The sum of two numbers is 9 and the sum of their squares is 261. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "I'm not sure how to set this out algebraically. If you could help me to set it out as a quadratic equation, I should be able to get the answer from there. Thank you for your time. \n" ); document.write( "
Algebra.Com's Answer #22284 by venugopalramana(3286)\"\" \"About 
You can put this solution on YOUR website!
The sum of two numbers is 9 and the sum of their squares is 261. Find the numbers.
\n" ); document.write( "I'm not sure how to set this out algebraically. If you could help me to set it out as a quadratic equation, I should be able to get the answer from there. Thank you for your time
\n" ); document.write( "LET THE NUMBERS BE X AND Y
\n" ); document.write( "X+Y=9......................................I
\n" ); document.write( "X^2+Y^2=261
\n" ); document.write( "USE THE FORMULA
\n" ); document.write( "(X+Y)^2+(X-Y)^2=2(X^2+Y^2)
\n" ); document.write( "9^2+(X-Y)^2=2*261=522
\n" ); document.write( "(X-Y)^2=522-81=441
\n" ); document.write( "X-Y=+21..................II...OR....-21..............III
\n" ); document.write( "EQN.I+EQN.II
\n" ); document.write( "X+Y+X-Y=9+21=30
\n" ); document.write( "2X=30
\n" ); document.write( "X=15
\n" ); document.write( "Y=9-X=9-15=-6
\n" ); document.write( "OR
\n" ); document.write( "X-Y=-21................................III
\n" ); document.write( "EQN.III+EQN.I
\n" ); document.write( "2X=-12
\n" ); document.write( "X=-6
\n" ); document.write( "Y=9-X=9+6=15
\n" ); document.write( "HENCE THE 2 NUMBERS ARE 15 AND -6 \n" ); document.write( "
\n" );