| Exam Board | Edexcel |
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| Module | C1 (Core Mathematics 1) |
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| Year | 2017 |
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| Session | June |
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| Topic | Exponential Functions |
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6. (a) Given \(y = 2 ^ { x }\), show that
$$2 ^ { 2 x + 1 } - 17 \left( 2 ^ { x } \right) + 8 = 0$$
can be written in the form
$$2 y ^ { 2 } - 17 y + 8 = 0$$
(b) Hence solve
$$2 ^ { 2 x + 1 } - 17 \left( 2 ^ { x } \right) + 8 = 0$$