# 50% Maths and 50 % Physics!!

Electricity and Magnetism Level 2

Let $$ax^{5} -bx^{4} +cx^{3} -dx^{2} +ex -f=0$$ be an equation which has 5 real roots $$α_{1}, α_{2}, α_{3}, α_{4}$$ and $$α_{5}$$, which are the values of capacitance of the 5 capacitors shown in the figure (not necessarily in order). Find the capacitance of a single capacitor which can replace the combination and store the same charge (as the combination).

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