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What are the roots of the polynomial P(s)=3s^2+19 ?
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It does not have a real root
But it does have roots...
3s^2=-19 s^2=-19/3 s=+ or - isqrt{19/3}
They are called complex
\[-\sqrt{\frac{19}{3}}i,\sqrt{\frac{19}{3}}i\]
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