document.write( "Question 212402: Find two real numbers that have a sum of 6 and a product of 4.
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Algebra.Com's Answer #160441 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Find two real numbers that have a sum of 6 and a product of 4. \n" ); document.write( ": \n" ); document.write( "x + y = 6 \n" ); document.write( "y = (6-x) \n" ); document.write( "and \n" ); document.write( "xy = 4 \n" ); document.write( "substitute (6-x) for y \n" ); document.write( "x(6-x) = 4 \n" ); document.write( ": \n" ); document.write( "6x - x^2 = 4 \n" ); document.write( ": \n" ); document.write( "0 = x^2 - 6x + 4 \n" ); document.write( "Use the quadratic formula to find x: a=1; b=-6; c=4 \n" ); document.write( "Solutions \n" ); document.write( "x =5.236 then y = .764 \n" ); document.write( " and \n" ); document.write( "x =.764 then y = 5.236 \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check \n" ); document.write( " 5.326 * .764 = 4.00 \n" ); document.write( " 5.326 + .764 = 6\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |