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How can I tell Mathematica to keep solutions of this equation up to second order in q?

Solve[Det[{{I x + a, b, 0}, {I f - I q^2 O, 
     I x + d - q^2 c, -I q^2 e}, {0, h, I x + g}}] == 0, x]
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1 Answer 1

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sol = x /.Solve[Det[{{I x + a, b, 0}, {I f - I q^2 O, 
   I x + d - q^2 c, -I q^2 e}, {0, h, I x + g}}] == 0, x]

Normal[Series[sol, {q, 0, 2}]]
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