document.write( "Question 200748: The sum of two numbers is 11
\n" ); document.write( "The sum of the squares of the two numbers is 73, find the two numbers.
\n" ); document.write( "

Algebra.Com's Answer #150971 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
(1) x +y =11
\n" ); document.write( "(2) x^2 + y^2 =73
\n" ); document.write( ".
\n" ); document.write( "from(1) y = (11-x)
\n" ); document.write( ".
\n" ); document.write( "subst into (2)
\n" ); document.write( ".
\n" ); document.write( "x^2 +(11-x)^2 =73
\n" ); document.write( "x^2 + (121 -22x +x^2 = 73
\n" ); document.write( "2x^2 -22x +48 =0
\n" ); document.write( "divide by 2
\n" ); document.write( "x^2 -11x +24 =0
\n" ); document.write( "factor
\n" ); document.write( "(x-8)(x-3) =0
\n" ); document.write( "x= 8 , 3
\n" ); document.write( ".
\n" ); document.write( " check
\n" ); document.write( "(1) 8+3=11,,,,ok
\n" ); document.write( "(2) 64 + 9 = 73 ,,,,,ok
\n" ); document.write( "
\n" );