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Consider the equation 2i−w3w∗​=2i, where w=a+bi and a,b∈R.
Find the values of a and b.
Consider the quadratic f(x)=px2+qx+r, where p,q,r∈Z such that f(w)=0 and y=f(x) has a minimum value of y=64.
Find the values of p,q and r.
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The complex number z satisfies 3√z=i+1−i2+i​.
Find z in the form a+bi, where a,b∈R.
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