Mathematics Sequences and Series Geometric Progressions

If a > 0 and b > 0 and a + b = 1, then \((a + \frac{1}{a})^2 + (b + \frac{1}{b})^2\) is 

1
≥ \(\frac{25}{4}\)
2
≤ \(\frac{25}{4}\)
3
≥ \(\frac{25}{2}\)
4
≤ \(\frac{25}{2}\)

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