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Calculate the number of roots of $s^4+2s^2+1=0$ on right half,left half and imaginary axis of S-plane.

Rohit Kumbhani
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1 Answers1

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Assuming the $S$-plane is just $\Bbb C$:

$$s^4 + 2s^2 + 1= (s^2 + 1)^2 = 0$$

so the complex solutions are $i$ and $-i$, both with multiplicity $2$. Draw your conclusions.

Henno Brandsma
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