| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2018 |
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| Session | June |
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| Topic | Inequalities |
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- The equation \(20 x ^ { 2 } = 4 k x - 13 k x ^ { 2 } + 2\), where \(k\) is a constant, has no real roots.
- Show that \(k\) satisfies the inequality
$$2 k ^ { 2 } + 13 k + 20 < 0$$ - Find the set of possible values for \(k\).