SOLUTION: find all possible numbers whose sum and product are same. example 2+ 2=4 & 2*2=4, 1.5*3 = 4.5 & 1.5 + 3 = 4.5

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Question 767962: find all possible numbers whose sum and product are same. example 2+ 2=4 & 2*2=4, 1.5*3 = 4.5 & 1.5 + 3 = 4.5
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
find all possible numbers whose sum and product are same. example 2+ 2=4 & 2*2=4, 1.5*3 = 4.5 & 1.5 + 3 = 4.5
Suppose x+y = xy

Suppose a,b,c, and d are numbers such that

x =  and y = 

Then 

×



Multiply every term through by bd

 ad + bc = ac

-ac + ad = -bc

 ac - ad = bc

a(c - d) = bc

a = , c≠d

Choose any three numbers b, c and d, such that c≠d

Choose a = 

Then x =  and y = 

will be such that x+y = xy

Example:

Choose b=3, c=7, d=2

Let a =  =  =  = 4.2

Then x =  =  = 1.4

And y =  =  = 3.5 

Then x+y = 1.4 + 3.5 = 4.9

And xy = 1.4×3.5 = 4.9

Edwin

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