m^4 +2m^3 +6m^2 +2m+5=0 find all roots of m?


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Question Number 110810 by mohammad17 last updated on 30/Aug/20

$m^{4} + 2 m^{3} + 6 m^{2} + 2 m + 5 = 0$ $f i n d a l l r o o t s o f m ?$
Commented by mohammad17 last updated on 30/Aug/20

$s i r c a n y o u e x a c t l y t h e s o l u t i o n s t e b b y s t e b$
	Answered by malwan last updated on 31/Aug/20

	$(m^{4} + 2 m^{3} + 5 m^{2}) + (m^{2} + 2 m + 5) = 0$ $m^{2} (m^{2} + 2 m + 5) + (m^{2} + 2 m + 5) = 0$ $(m^{2} + 1) (m^{2} + 2 m + 5) = 0$ $m^{2} + 1 = 0 \Rightarrow m = \pm i$ $o r m^{2} + 2 m + 5 = 0 \Rightarrow m = - 1 \pm 2 i$
	Commented by mohammad17 last updated on 31/Aug/20

	$t h a n k y o u s i r$
	Commented by malwan last updated on 31/Aug/20

	$y o u w e l c o m e$
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