Question 946467
what 2 numbers add to -2 but multiply to -15

Let the numbers be x , y
As per given condition 
 x + y = -2.............   Eq 1
 x.y = -15.............    Eq 2

From Eq 1 we get 
          y = -x -2
We plug this value of y in Eq 2
 x (-x-2) = -15
 -x^2 -2x = -15

Rearranging the above equation we get

  x^2+ 2x - 15 = 0

Factorizing the above equation we get
  (x+ 5)(x-3) = 0
Either                                
     x +5 = 0                       
     x = -5                         
Hence y = -x-2                     
        = -(-5) -2                         
        = 5-2                              
      y = 3   

Or  x -3 = 0
    x = 3
Hence y = -x-2
        = -3-2
      y = -5  

The two numbers can be  ( -5 and 3) or ( 3, -5) [ANSWER]