| Exam Board | SPS |
| Module | SPS FM Pure (SPS FM Pure) |
| Year | 2023 |
| Session | June |
| Topic | Implicit equations and differentiation |
14. A curve \(C\) has equation
$$x ^ { 3 } + y ^ { 3 } = 3 x y + 48$$
Prove that \(C\) has two stationary points and find their coordinates.
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