Complex Number and Quadratic Equations
If 8iz3+12z2−18z+27i=0, find 4∣z∣2.
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If z1 and z2 are two complex numbers such that ∣z1∣=∣z2∣ and arg(z1)+rag(z2)=π, then show that z1=−zˉ2.
Find the multiplicative inverse of the complex numbers given the following:−i
Find real values of x and y if3+ix−1+3−iy−1=i
The solution of the equation ∣z∣−z=1+2i is
Find the multiplicative inverse of the following complex numbers:4-3i
For every real number c≥0, find all the complex numbers z which satisfy the equation 2∣z∣−4cz+1+ic=0.