If `y=(a+b x^(3/2))/(x^(5/4))a n dy^(prime)=0a tx=5,` then the value of `(a^2)/(b^2)` is_______

Explanation

To solve the problem, we start with the given function:

\[ y = \frac{a + b x^{3/2}}{x^{5/4}} \]

We need to find the value of \(\frac{a^2}{b^2}\) given that \(\frac{dy}{dx} = 0\) at \(x = 5\).

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