document.write( "Question 40040: Thank you so much for your help with this. My brain stopped and I need a push. Can you bring me through this problem please...
\n" ); document.write( "\"Use a quadratic equation to determine the two numbers that satisfy the situation: Their sum is 9 and their product is 20.\"? \n" ); document.write( "
Algebra.Com's Answer #25460 by venugopalramana(3286)\"\" \"About 
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Thank you so much for your help with this. My brain stopped and I need a push. Can you bring me through this problem please...
\n" ); document.write( "\"Use a quadratic equation to determine the two numbers -SAY X AND Y \r
\n" ); document.write( "\n" ); document.write( "that satisfy the situation: Their sum is 9
\n" ); document.write( "X+Y=9..............................................I\r
\n" ); document.write( "\n" ); document.write( "and their product is 20.\"?
\n" ); document.write( "XY=20..................................................II\r
\n" ); document.write( "\n" ); document.write( "(X+Y)^2-(X-Y)^2=4XY
\n" ); document.write( "9^2-(X-Y)^2=4*20=80
\n" ); document.write( "(X-Y)^2=81-80=1
\n" ); document.write( "X-Y=1....................................III
\n" ); document.write( "EQN.II+EQN.III
\n" ); document.write( "2X=10
\n" ); document.write( "X=5
\n" ); document.write( "Y=9-X=9-5=4
\n" ); document.write( "SO THE 2 NUMBERS ARE 5 AND 4 \n" ); document.write( "
\n" );