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You need to recognise that there is a double root equation
Date Posted:
2 years ago
Yes, thank you so much, Jeremy.
Just wondering if there's any way to solve this without using calculus ?
Double root equation does not cross the x axis (parameter t in this case) graphically. This means if we solely plot -(m-10t)^2..without the k, the top of the curve (or the maximum) touches P=0 at t=3. We make use of this fact (P=0 at t=3, for p=-(m-10t)^2 without the k) to find m.
From m, you can find k.