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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