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 #423447 by ReadingBoosters(3246)\"\" \"About 
You can put this solution on YOUR website!
x is one number
\n" ); document.write( "y is the other number
\n" ); document.write( "...
\n" ); document.write( "xy=442
\n" ); document.write( "x+y=43 ==> rearrange as x = 43-y
\n" ); document.write( "...
\n" ); document.write( "Substitution
\n" ); document.write( "(43-y)y = 442
\n" ); document.write( "\"43y+-+y%5E2+=+442\"
\n" ); document.write( "...
\n" ); document.write( "Either determine that
\n" ); document.write( "\"0=y%5E2-43y%2B442\" factors as (y-26)(y-17)=0
\n" ); document.write( "y = 26 AND y = 17
\n" ); document.write( "Or
\n" ); document.write( "Solve for y with the Quadratic Formula
\n" ); document.write( "\"0+=+y%5E2+-+43y+%2B+442\"
\n" ); document.write( "y = \"%28-%28-43%29+%2B-+sqrt%2843%5E2-4%281%29%28442%29%29%29%2F%282%2A1%29\"
\n" ); document.write( "y = \"%2843%2B-sqrt%281849-1768%29%29%2F2\"
\n" ); document.write( "y = \"%2843%2B-sqrt%2881%29%29%2F2\"
\n" ); document.write( "y = \"%2843%2B-9%29%2F2\"
\n" ); document.write( "...
\n" ); document.write( "y = \"%2843%2B9%29%2F2+=+26\"
\n" ); document.write( "y = \"%2843-9%29%2F2+=+17\"
\n" ); document.write( "...
\n" ); document.write( "Check
\n" ); document.write( "26*17 = 442
\n" ); document.write( "26+17=43
\n" ); document.write( "...
\n" ); document.write( "The two numbers are 26 and 17.
\n" ); document.write( ".....................
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