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- Question 5, Exercise 1.3
- =====Question 5(i)===== Find the solutions of the equation ${{z}^{2}}+z+3=0$. ====Solution==== Given: $${{z... }}{2}i\end{align} Thus the solutions of the given equation are $-\dfrac{1}{2}\pm\dfrac{\sqrt{11}}{2}i$. =====Question 5(ii)===== Find the solutions of the equation ${{z}^{2}}-1=z$.\\ ====Solution==== Given: $${{z... }}{2}.\end{align} Thus the solutions of the given equations are $\dfrac{1\pm\sqrt{5}}{2}$. =====Question 5(i
- Question 6, Exercise 1.3
- =====Question 6(i)===== Find the solutions of the equation ${{z}^{4}}+{{z}^{2}}+1=0$. ====Solution==== $$z... c{1\pm \sqrt{3}i}{2}$$ The value of $z$ from both equations, we have $$z=\pm \dfrac{1}{2}\pm \dfrac{\sqrt{3}... ====Question 6(ii)===== Find the solutions of the equation ${{z}^{3}}=-8$. ====Solution==== Given: $$z^3=-8... 1\pm \sqrt{3}i$ are the solutions of the required equations. =====Question 6(iii)===== Find the solutions o
- Question 3 & 4, Exercise 1.3
- {z}_{1}}=-1+i$ and ${{z}_{2}}=-1-i$ satisfied the equation ${{z}^{2}}+2z+2=0$\\ ====Solution==== Given: $... ign} This implies $z_1=-1+i$ satisfied the given equation.\\ Now put $z_2=-1-i$ in (i) \begin{align} L.H.S&... \end{align} This implies $z_2=-1-i$ satisfied the equation. =====Question 4===== Determine weather $1+2i$ i... ign} This implies $1+2i$ is solution of the given equation. ====Go To==== <text align="left"><btn type="prim
- Question 1, Exercise 1.3
- =Question 1(i)===== Solve the simultaneous linear equation with complex coefficient. \begin{align}&z-4w=3i\\... Question 1(ii)===== Solve the simultaneous linear equation with complex coefficient. \begin{align}&z+w=3i\\ ... uestion 1(iii)===== Solve the simultaneous linear equation with complex coefficient. \begin{align} &3z+(2+i)
- Question 6, 7 & 8, Review Exercise 1
- i}=-i$ =====Question 8===== Find the quadrative equation $z+\dfrac{2}{z}=2.$\\ ====Solution==== \begin{ali