document.write( "Question 1043985: The sum of two numbers is 20. If x represents one number and y represents the sum of the squares of the numbers, express y as a function of x. \n" ); document.write( "

Algebra.Com's Answer #659215 by Timnewman(323) $\"\"$ $\"About$

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The sum of two numbers is 20. If x represents one number and y represents the sum of the squares of the numbers, express y as a function of x.\r
\n" ); document.write( "\n" ); document.write( " Solution
\n" ); document.write( "let the second number be m.
\n" ); document.write( "X+m=20---a
\n" ); document.write( "y=x^2+m^2
\n" ); document.write( "from equ (a)
\n" ); document.write( "m=20-x ---b
\n" ); document.write( "put a in b
\n" ); document.write( " $\"y=x%5E2%2B%2820-x%29%5E2\"$
\n" ); document.write( " $\"y=x%5E2%2B400-40x%2Bx%5E2\"$
\n" ); document.write( " $\"y=2x%5E2-40x%2B400\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"y=x%5E2-20x%2B200\"$ as required
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