document.write( "Question 367744: The sum of two numbers is eleven. The sum of the squares of the two numbers is sixty-five. Find the two numbers. \n" ); document.write( "
Algebra.Com's Answer #262129 by aprilburchett(2)![]() ![]() ![]() You can put this solution on YOUR website! First you must list all sums that will equal eleven:\r \n" ); document.write( "\n" ); document.write( "10+1=11 \n" ); document.write( "9+2=11 \n" ); document.write( "8+3=11 \n" ); document.write( "7+4=11 \n" ); document.write( "6+5=11\r \n" ); document.write( "\n" ); document.write( "Then you need to know which set of these numbers squared will equal 65:\r \n" ); document.write( "\n" ); document.write( "10^2+1^2=100+1=101 \n" ); document.write( "9^2+2^2=81+4=85 \n" ); document.write( "8^2+3^3=64+9=73 \n" ); document.write( "7^2+4^2=49+16=65 \n" ); document.write( "6^2+5^2=36+25=61\r \n" ); document.write( "\n" ); document.write( "You want the one that equals 65, so your two numbers are 6 and 5. They both add up to equal 11 and the sum of their squares is 65. \n" ); document.write( " |