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Find the minimum integral value of k for...

Find the minimum integral value of k for which the equation `e^(x)=kx^(2)` has exactly three real distinct solutions.

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To solve the problem of finding the minimum integral value of \( k \) for which the equation \( e^x = kx^2 \) has exactly three distinct real solutions, we can follow these steps: ### Step 1: Rewrite the equation We start with the equation: \[ e^x = kx^2 \] We can express \( k \) in terms of \( x \): ...
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