document.write( "Question 56793: if the difference of two numbers is 10 and their product is 18,what is the sum of their squares? \n" ); document.write( "
Algebra.Com's Answer #38579 by ankor@dixie-net.com(22740)\"\" \"About 
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If the difference of two numbers is 10, and their product is 18, what is the sum of their squares?
\n" ); document.write( ":
\n" ); document.write( "\"if the difference of two numbers is 10\"
\n" ); document.write( "x - y = 10
\n" ); document.write( ":
\n" ); document.write( "\"their product is 18
\n" ); document.write( "x*y = 18
\n" ); document.write( ":
\n" ); document.write( "FInd the numbers, worry about the sum of their squares later:
\n" ); document.write( "From the 1st equation:
\n" ); document.write( "x = y + 10
\n" ); document.write( ":
\n" ); document.write( "Substitute (y+10) in the 2nd equation:
\n" ); document.write( "(y+10) * y = 18
\n" ); document.write( "y^2 + 10y - 18;
\n" ); document.write( ":
\n" ); document.write( "No integer solution: Using quadratic formula, the positive solution:
\n" ); document.write( "y = + 1.557438524
\n" ); document.write( "Then
\n" ); document.write( "x = 11.557438524
\n" ); document.write( ":
\n" ); document.write( "On a good calculator: 1.557438524^2 + 11.557438524^2 = 136 \n" ); document.write( "
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