These Ten-Year-Series (TYS) worked solutions with video explanations for 2006 A Level H2 Mathematics Paper 1 Question 6 are suggested by Mr Gan. For any comments or suggestions please contact us at support@timganmath.edu.sg.
2006 A Level H2 Math Paper 1 Question 6
Show that the equation
${{z}^{4}}-2{{z}^{3}}+6{{z}^{2}}-8z+8=0$
has a root of the form $k\text{i}$, where $k$ is real.
[3]
Hence solve the equation
${{z}^{4}}-2{{z}^{3}}+6{{z}^{2}}-8z+8=0$.
[3]
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