Find the values!

Algebra Level 3

Given that \(\alpha ,\gamma \) are the roots of the equation \(A{ x }^{ 2 }-4x+1=0\) and \(\beta ,\quad \delta \) the roots of the equation, \(B{ x }^{ 2 }-6x+1=0\) , find the value of A and B, such that \(\alpha ,\beta ,\gamma ,\delta\) are in HP


NOTE:- HP means Harmonic Progression

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