# 50 Followers Problem!

Algebra Level 5

If $$a,b,c,d > 0$$ with $$a\ge d, b\ge c$$ such that $$a^{2}+c^{2}=9$$ and $$ac+bd=7$$. Find the minimum value of $$b^{2}+d^{2}$$ upto two decimal places if $$b^{2}+d^{2}>3$$.

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