The two capacitors shown in Figure have capacitances C₁ = 0.4 ?F and C₂ = 1.2 ?F. The voltages across the two capacitors are V₁ and V₂, respectively, and the total stored energy in the two capacitors is 1.14 mJ. If terminals b?and c?are connected together, the voltage V_a?? V_d?= 80 V; if terminal a?is connected to b, and c?is connected to d, the voltage V_a?? V_d?= 20 V. Find the initial voltages V₁ and V₂.

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C2