document.write( "Question 921256: Two natural numbers differ by two units and the sum of thier sqaures is 580. What are these numbers? \n" ); document.write( "
Algebra.Com's Answer #558891 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Two natural numbers differ by two units and the sum of thier sqaures is 580. What are these numbers? \n" ); document.write( "----------------------- \n" ); document.write( "Equations: \n" ); document.write( "x - y = 2 \n" ); document.write( "x^2 + y^2 = 580 \n" ); document.write( "---------------------- \n" ); document.write( "Substitute for \"x\" and solve for \"y\";; \n" ); document.write( "(y+2)^2 + y^2 = 580 \n" ); document.write( "y^ + 4y + 4 + y^2 = 580 \n" ); document.write( "y^2 + 2y + 2 = 290 \n" ); document.write( "y^2 + y - 288 = 0 \n" ); document.write( "y = 16 \n" ); document.write( "---- \n" ); document.write( "Therefore, x = 18 \n" ); document.write( "---------------------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "====================== \n" ); document.write( " \n" ); document.write( " |