Weird Expression

Algebra Level 5

a2+b2+1a2+ba\large a^2+b^2+\dfrac{1}{a^2}+\dfrac{b}{a}

Given aa and bb are non-zero real numbers, what is the minimum value of the above expression?

Give your answer to 3 decimal places.

Sharky Kesa by Sharky Kesa
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