document.write( "Question 216492: the sum of two numbers is 9 and the sum of thier squaresis 41. find the numbers \n" ); document.write( "
Algebra.Com's Answer #163455 by Kalmetam(43)\"\" \"About 
You can put this solution on YOUR website!
For this problem let number 1 be X and number 2 be Y\r
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\n" ); document.write( "\n" ); document.write( "\"X%2BY=9\"
\n" ); document.write( "\"X%5E2%2BY%5E2=41\"\r
\n" ); document.write( "\n" ); document.write( "There are many ways to solve this... but lets try the most simple way.
\n" ); document.write( "Find the Square numbers up to 8\r
\n" ); document.write( "\n" ); document.write( "\"1%5E2=1\"
\n" ); document.write( "\"2%5E2=4\"
\n" ); document.write( "\"3%5E2=9\"
\n" ); document.write( "\"4%5E2=16\"
\n" ); document.write( "\"5%5E2=25\"
\n" ); document.write( "\"6%5E2=36\"
\n" ); document.write( "\"7%5E2=49\"
\n" ); document.write( "\"8%5E2=64\"\r
\n" ); document.write( "\n" ); document.write( "Right off the bat you can eliminate the last two...
\n" ); document.write( "This leaves us with...\r
\n" ); document.write( "\n" ); document.write( "1
\n" ); document.write( "4
\n" ); document.write( "9
\n" ); document.write( "16
\n" ); document.write( "25
\n" ); document.write( "36\r
\n" ); document.write( "\n" ); document.write( "The easy way to do it from here is pretend each of those are X... W stands for whole number. Plug in the X's... If 41-X does not equal a whole number, ELIMINATE it. \r
\n" ); document.write( "\n" ); document.write( "\"41-X=W%5E2\"\r
\n" ); document.write( "\n" ); document.write( "Let's try...\r
\n" ); document.write( "\n" ); document.write( "\"41-1=40\"\r
\n" ); document.write( "\n" ); document.write( "40 is not a square number... ELIMINATED a\r
\n" ); document.write( "\n" ); document.write( "Next number...\r
\n" ); document.write( "\n" ); document.write( "\"41-4=37\"\r
\n" ); document.write( "\n" ); document.write( "37 is not a square number either... 2 is eliminated\r
\n" ); document.write( "\n" ); document.write( "\"41-9=32\"\r
\n" ); document.write( "\n" ); document.write( "32 is not a square number... and since 3+6=9, 6 is eliminated as well...\r
\n" ); document.write( "\n" ); document.write( "This leaves us with 4 and 5 left... let's try..\r
\n" ); document.write( "\n" ); document.write( "\"41-16=25\"
\n" ); document.write( "\"16=4%5E2\"
\n" ); document.write( "\"25=5%5E2\"\r
\n" ); document.write( "\n" ); document.write( "The two numbers are 4 and 5.\r
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