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Question

Solve x2+6x+13>0.

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Solution

Given inequation is x2+6x+13>0.

Here, factorization is not possible.

Rewriting the given inequation, we get,
(x2+6x+9)+4>0

(x+3)2+4>0

We know that (x+3)20 for every xR.
(x+3)2+44>0 for every xR.

Therefore, the required solution is the set of all real numbers, i.e., (,).

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