| Exam Board | WJEC |
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| Module | Unit 1 (Unit 1) |
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| Year | 2024 |
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| Session | June |
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| Topic | Indices and Surds |
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6. (a) Find the exact value of \(x\) that satisfies the equation
$$\frac { 7 x ^ { \frac { 5 } { 4 } } } { x ^ { \frac { 1 } { 2 } } } = \sqrt { 147 }$$
(b) Show that \(\frac { ( 8 x - 18 ) } { ( 2 \sqrt { x } - 3 ) }\), where \(x \neq \frac { 9 } { 4 }\), may be written as \(2 ( 2 \sqrt { x } + 3 )\).