document.write( "Question 683060: I don't know what type of help I need. I am trying to solve the problem - the product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers. I don't know if this is algebra or what it is. I tried timesing 43 by several numbers and I tried dividing 442 but I can't find an answer. \n" ); document.write( "
Algebra.Com's Answer #423448 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! the product of two numbers is 442. The sum of the two numbers is 43. Find the two numbers. \n" ); document.write( "------- \n" ); document.write( "Equations: \n" ); document.write( "xy = 442 \n" ); document.write( "x+y = 43 \n" ); document.write( "----- \n" ); document.write( "Substitute for \"x\" and solve for \"y\": \n" ); document.write( "x = 43-y \n" ); document.write( "---- \n" ); document.write( "So (43-y)y = 442 \n" ); document.write( "-y^2 +43y = 442 \n" ); document.write( "----- \n" ); document.write( "y^2 - 43y +442 = 0 \n" ); document.write( "(y-17)(y-26) = 0 \n" ); document.write( "y = 17 or y = 26 \n" ); document.write( "------ \n" ); document.write( "Solve for \"x\": \n" ); document.write( "If y = 17, x = 43-17 = 26 \n" ); document.write( "If y = 26, x = 43-26 = 17 \n" ); document.write( "=================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "=============== \n" ); document.write( " |