<ol class="abc-list"><li><div class="list-item-paragraph">One root of the equation ${{z}^{4}}+2{{z}^{3}}+a{{z}^{2}}+bz+50=0$, where&nbsp;$a$ and $b$ are real, is $z=1+3\mathbf{i}$.</div><ol class="i-list"><li><div class="list-item-paragraph">Show that&nbsp;$a=7$ and $b=30$ and find the other roots of the equation.<span class="inline-marks">[5]</span></div></li><li><div class="list-item-paragraph">Deduce the roots of the equation ${{w}^{4}}-2\mathbf{i}{{w}^{3}}-7{{w}^{2}}+30\mathbf{i}w+50=0$<span class="inline-marks">[2]</span></div></li></ol></li></ol>

One root of the equation ${{z}^{4}}+2{{z}^{3}}+a{{z}^{2}}+bz+50=0$, where $a$ and $b$ are real, is $z=1+3\mathbf{i}$.

Complex Numbers - General

Complex Numbers

H2 Math

International Baccalaureate Higher Level Mathematics

2017 RI P1 Q9

2017 RI P1 Q9

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