emachnick emachnick
  • 14-04-2016
  • Mathematics
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what two numbers multiply to negative 8 but add to negative 7

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Cotsios1016
Cotsios1016 Cotsios1016
  • 14-04-2016
Let "a" and "b" be the two numbers
So a*b=-8 and a+b=-7
Therefore S=-7 and P=-8
Using (x^2)-S+P=0 => (x^2)-(-7)+(-8)=0 => (x^2)+7-8=0
By factorizing we get (x+8)(x-1)=0
So a can be either -8 or 1 and b can be 1 or -8 
Meaning that the two numbers are -8 and 1.
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