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| Question 604906:  the sum of 2 numbers is 12, and their product is 35. Find the numbers.
 Answer by jim_thompson5910(35256)
      (Show Source): 
You can put this solution on YOUR website! "the sum of 2 numbers is 12" ---> x+y = 12 ---> y = 12-x ----------------------------
 
 "their product is 35" ----> xy = 35
 
 xy = 35
 
 x(12-x) = 35
 
 -x^2 + 12x = 35
 
 -x^2 + 12x - 35 = 0
 
 x^2 - 12x + 35 = 0
 
 (x - 7)(x - 5) = 0
 
 x-7 = 0 or x-5 = 0
 
 x = 7 or x = 5
 
 So the two numbers are 5 and 7
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