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  • 06-06-2019
  • Mathematics
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solve the equation by finding square roots x^2 + 8x + 16 =9​

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LammettHash
LammettHash LammettHash
  • 06-06-2019

The left side can be condensed as a squared binomial:

[tex]x^2+8x+16=(x+4)^2=9\implies x+4=\pm\sqrt9\implies x+4=\pm3[/tex]

[tex]\implies\boxed{x=-1\text{ or }x=-7}[/tex]

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