Find the roots of ${{z}^{2}}+2z+5=0$. Hence, solve ${{(1+w)}^{2}}+2(1+w)+5=0$ \({{\left( {{w}^{}

Question

Find the roots of ${{z}^{2}}+2z+5=0$. Hence, solve ${{(1+w)}^{2}}+2(1+w)+5=0$ ${{\left( {{w}^{}} \right)}^{2}}-2{{w}^{}}+5=0$ $\frac{1}{{{w}^{2}}}-\frac{2}{w}+5=0$.

Accepted Answer

Roots: $-1\pm2\mathrm i$ (i) $w=-2\pm2\mathrm i$ (ii) $w=1\pm2\mathrm i$ (iii) $w=\dfrac15\pm\dfrac25\mathrm i$

Complex Numbers - Solving Complex Equations

Complex Numbers - Solving Complex Equations

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