achung6104 achung6104
  • 11-04-2019
  • Mathematics
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For the equation x2 + 2x − 8 = 0, what is the sum of the solutions?

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 11-04-2019

Answer:

-2

Step-by-step explanation:

x^2 + 2x − 8 = 0

What 2 numbers multiply to -8 and add to 2

4*-2 = -8

4-2 = 2

(x+4) (x-2)=0

Using the zero product property

x+4 =0         x-2=0

x+4-4 =0-4      x-2+2=0+2

x = -4               x=2

We want the sum of the solutions

-4+2 = -2

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