7.
In this question you should show all stages of your working.
Solutions relying on calculator technology are not acceptable.
- Using algebra, find all solutions of the equation
$$3 x ^ { 3 } - 17 x ^ { 2 } - 6 x = 0$$
- Hence find all real solutions of
$$3 ( y - 2 ) ^ { 6 } - 17 ( y - 2 ) ^ { 4 } - 6 ( y - 2 ) ^ { 2 } = 0$$
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