| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Topic | Quadratic Functions |
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4. (a) Solve the equation \(4 x ^ { 2 } + 12 x = 0\).
$$f ( x ) = 4 x ^ { 2 } + 12 x + c ,$$
where \(c\) is a constant.
(b) Given that \(\mathrm { f } ( x ) = 0\) has equal roots, find the value of \(c\) and hence solve \(\mathrm { f } ( x ) = 0\).