babyyaya0101
babyyaya0101 babyyaya0101
  • 15-08-2019
  • Mathematics
contestada

What are the solutions to the equation X^2+2x+2=0

Respuesta :

hoangpm04
hoangpm04 hoangpm04
  • 15-08-2019

Answer:

x=0 and x = -2

Step-by-step explanation:

So we know that a^2 + 2ab + b^2 = (a+b)^2 so, in this situation, we got:

x^2 + 2x + 2 = 0

x^2 + 2x + (1/2*2)^2 +1 = 0

x^2 + 2x + 1^2 + 1 = 0

(x+1)^2 + 1 = 0

(x+1)^2 + 1^2 = 0

We also learn that a^2 + b^2 = (a+b) * (a-b), so in this case:

(x+1)^2 + 1^2 = 0

(x+1+1) * (x+1-1) = 0

(x+2) * (x+0) = 0

x(x+2) = 0

So, there would be 2 result for x now:

x = 0 and x+2 =0

x=0 and x = -2

Hope this help you :3

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