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x = y-2
\n" ); document.write( "x^2+y^2 = 244 substitute for x:
\n" ); document.write( "(y-2)^2+y^2 = 244
\n" ); document.write( "(y-2)(y-2)+y^2 = 244
\n" ); document.write( "2y^2-4y+4 = 244 Divide both sides by 2:
\n" ); document.write( "y^2-2y+2 = 122 Complete the squares
\n" ); document.write( "y^2-2y = 120 take 1/2 the coefficient of y and add to both sides. The coefficient is 2, 1/2 of 2 is 1:
\n" ); document.write( "y^2-2y+1 = 121
\n" ); document.write( "(y-1)^2 = 121 Take the square root on both sides:
\n" ); document.write( "y-1 = -11 or y-1 = 11
\n" ); document.write( "y = -10 or y = 12
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\n" ); document.write( "We are not looking for a negative number, so let's try 12:
\n" ); document.write( "x = y-2
\n" ); document.write( "x = 12-2 = 10
\n" ); document.write( "The sum of their squares is 244:
\n" ); document.write( "12^2+10^2 = 244
\n" ); document.write( "244 = 244 Correct
\n" ); document.write( ":
\n" ); document.write( "John\r
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