`" If "((1-i)/(1+i))^(50)=p+iq(i=sqrt(-1))" ,then "` Find p and q

sqrt((1+i)/(1-i))

sqrt((1+i)/(1-i))

If z=((sqrt(3)+i)^(17))/((1-i)^(50)), then find amp(z)

If the sum of square of roots of equation x^(2)+(p+iq)x+3i=0 is 8, then find p and q,where p and q are real.

If p=sum_(p=1)^(32)(3p+2)(sum_(q=1)^(10)(sin""(2qpi)/(11)-icos""(2qpi)/(11)))^(p) , where i=sqrt(-1) and if (1+i)P=n(n!),n in N, then the value of n is

If (a+ib)^(5)=" p "+" iq ," where " "i=sqrt(-1), prove that (b+ia)^(5)=q+ip.

If (sqrt3 + i)^(100) = 2^(99) (p + iq) , then p and q are roots of the equation:

If p inR and q = log_(x) (p+sqrt(p^(2)+1)) , then find the value of p in terms of x and q.