document.write( "Question 395293: The sum of two numbers is 10 and the sum of their squares is a minimum. Algebraically determine the function that models the sum of their squares and use it to find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #280690 by robertb(5830)\"\" \"About 
You can put this solution on YOUR website!
x = one number, 10 - x = other number
\n" ); document.write( "Then \"S%28x%29+=+x%5E2+%2B+%2810+-+x%29%5E2\".
\n" ); document.write( "==> \"S%28x%29++=+2x%5E2+-+20x+%2B+100\"
\n" ); document.write( "S is minimum when \"x+=+-b%2F2a+=+--20%2F4+=+5\".
\n" ); document.write( "So the two numbers are 5 and 5.
\n" ); document.write( "
\n" );