This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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9. PURE MATHEMATICS
a) If and are the roots of , find the equation whose roots are and .
Step 1: Find the sum and product of the roots of the original equation . For a quadratic equation , the sum of roots is and the product of roots is $\alpha\beta = \frac{c}{a
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Find the sum and product of the roots of the original equation 5x^2 - 9x - 4 = 0.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.