Peachybro1
Peachybro1 Peachybro1
  • 13-04-2022
  • Mathematics
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I know the answer I just need to know how to solve it. The highlighted is the answer.

I know the answer I just need to know how to solve it The highlighted is the answer class=

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loneguy
loneguy loneguy
  • 13-04-2022

[tex]x^2+4x+4 = 8\\\\\implies x^2+2\cdot 2 \cdot x+2^2 = 8\\ \\\implies (x+2)^2 = 8\\\\\implies x+2 =\pm\sqrt 8\\\\\implies x +2 = \pm\sqrt{4 \times 2}\\\\\implies x +2 = \pm2\sqrt 2\\\\\implies x =-2 \pm2\sqrt2[/tex]

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