Question: ( a ) Solve the equation z 4 + 2 z 3 + 2 z 2 + 1 0 z + 2 5 = 0

(a) Solve the equation z4+2z3+2z2+10z+25=0 given -2+i is one of the roots. (b) Solve 2z8-3z4+1=0.(c) Suppose a complex number z satisfies the equation (1+2z)4=16(1-2z)4. Find the complex number z and express the result in Cartesian form (i.e.a+bi).
( a ) Solve the equation z 4 + 2 z 3 + 2 z 2 + 1

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