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Math·Advanced Math·Nonlinear equations in one variable and systems of equations in two variables

hard

$\frac{5}{8}(5x+8)(x+\sqrt{5k+8})(x-\sqrt{5k+8})=0$

In the given equation, $k$ is a positive constant. The product of the solutions to the equation is 64. What is the value of $k$?

1

6.4

2

32/5