\text{Proof that } E=mc^2\\\\Power=\frac{Energy}{Time}\implies Pt=E\\E=Pt\\\text{Given that }s=ut+\frac{1}{2}at^2\implies \frac{1}{2}at^2+ut-s=0\\\\\implies t=\frac{-u+\sqrt{u^2-4(\frac{1}{2}a)(-s)}}{a}\text{ (Assuming initial velocity is positive)}\\\\\implies...
from my point of view it looks like you want to keep legal over science ext. the pros of dropping science ext seem to outweigh the cons of dropping science ext. what made you set on dropping legal studies during prelims though? is that still an issue?
for f(x) = 0, we have the equation x^4 -8x^2 +11 = 0
we can notice that x^4 is the same as (x^2)^2 by power laws
so we actually have a hidden quadratic in this equation of degree 4, and if we replace x^2 with 'u' , this means that x^4 = u^2 , and 8x^2 is 8u. we can then use the quadratic formula...