Five mark exercise problem XII — task. Mathematics State Board, Class 10.

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The roots of the equation

$2x^2 - 7x + 5 = 0$ are

$\alpha$ and

$\beta$ . Without solving for the roots, find the values of:

(i)

$\frac{\alpha}{\beta} + \frac{\beta}{\alpha} =$

$\frac{i}{i}$

(ii)

$\frac{\alpha + 2}{\beta + 2} + \frac{\beta + 2}{\alpha + 2} =$

$\frac{i}{i}$

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