document.write( "Question 260165: find 2 numbers whose sum is 18 and product is 20. \n" ); document.write( "
Algebra.Com's Answer #191623 by unlockmath(1688)\"\" \"About 
You can put this solution on YOUR website!
Hello,
\n" ); document.write( "Let's set up two equations and solve it from there.
\n" ); document.write( "x+y=18
\n" ); document.write( "xy=20
\n" ); document.write( "There are a couple ways to solve this. Let's set the first one like this:
\n" ); document.write( "x+y=18 Subtract y from both sides to give:
\n" ); document.write( "x=18-y Replace this into the second equation as:
\n" ); document.write( "(18-y)y=20 rewritten as
\n" ); document.write( "18y-y^2=20 Move these so they equal zero.
\n" ); document.write( "0=y^2-18y+20 Now we use the quadratic equation to solve:
\n" ); document.write( "y = (-b +- sqrt( b^2-4*a*c ))/(2*a) }
\n" ); document.write( "y = (18 +- sqrt( 324-80)/(2) Rewritten as:
\n" ); document.write( "y = (18 +- sqrt 244)/2 (Sqrt of 244 is approx 15.65)
\n" ); document.write( "y = 1.18975 (Approx)
\n" ); document.write( "Now solve for x
\n" ); document.write( "I'm doing basically the same as I solved for y but won't show all the steps here.
\n" ); document.write( "x= 16.81024 (approx)
\n" ); document.write( "Now we can add these and multiply these answers and it will work out.
\n" ); document.write( "Very good Problem.
\n" ); document.write( "RJ
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\n" ); document.write( "www.math-unlock.com \n" ); document.write( "
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