document.write( "Question 343976: one positive number is 3 larger than another number. The sum of their squares is 17. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #246088 by unlockmath(1688)![]() ![]() You can put this solution on YOUR website! Hello, \n" ); document.write( "Let x be one number and y be the other so we can set up 2 equation: \n" ); document.write( "x=y+3 \n" ); document.write( "x^2+y^2=17 \n" ); document.write( "Substitute the first into the second equation: \n" ); document.write( "(y+3)^2 +y^2=17 \n" ); document.write( "Rewrite this as: \n" ); document.write( "y^2+6y+9+y^2-17=0 \n" ); document.write( "Now combine like terms: \n" ); document.write( "2y^2+6y-8=0 \n" ); document.write( "Factor this to get: \n" ); document.write( "(2y+8)(y-1)=0 \n" ); document.write( "Solve for y: \n" ); document.write( "y=1 \n" ); document.write( "y=-4 \n" ); document.write( "The only number that works here is: \n" ); document.write( "y=1 So x=4 \n" ); document.write( "Make sense? \n" ); document.write( "RJ \n" ); document.write( "www.math-unlock.com \n" ); document.write( " \n" ); document.write( " |