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A system in a normalized state $$\left| \psi \right\rangle = {c_1}\left| {{\alpha _1}} \right\rangle + {c_2}\left| {{\alpha _2}} \right\rangle $$    with $$\left| {{\alpha _1}} \right\rangle $$ and $$\left| {{\alpha _2}} \right\rangle $$ representing two different eigen states of the system requires that the constants c1 and c2 must satisfy the condition
If α and β are the roots of equation x2– 2x + 4 = 0, then what is the equation whose roots are α3/β2and β3/α2?