log(x^2 +5x+16) = 1 solve for x

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14-04-2015
Mathematics

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log(x^2 +5x+16) = 1 solve for x

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Konrad509idn Konrad509idn · Answer 1 · 2015-04-14T11:04:01-04:00

Konrad509idn Konrad509idn

14-04-2015

[tex]D:x^2+5x+16\ \textgreater \ 0\\ D:x\in\mathbb{R}\\\ \log(x^2+5x+16)=1\\ 10^1=x^2+5x+16\\ x^2+5x+6=0\\ x^2+2x+3x+6=0\\ x(x+2)+3(x+2)=0\\ (x+3)(x+2)=0\\ x=-3 \vee x=-2[/tex]

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