Two mark example problem IV — task. Mathematics State Board, Class 10.

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Answer variants:

$641$

$117$

$29$

$3$

$\frac{- 133}{10}$

$\frac{29}{10}$

$\alpha$ and

$\beta$ are the roots of

$x^2 + 7x + 10 = 0$ , find the values of

(i)	$\alpha - \beta$
(ii)	$\alpha^2 + \beta^2$
(iii)	$\alpha^3 - \beta^3$
(iv)	$\alpha^4 + \beta^4$
(v)	$\frac{\alpha}{\beta} + \frac{\beta}{\alpha}$
(vi)	$\frac{\alpha^2}{\beta} + \frac{\beta^2}{\alpha}$

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5. Two mark example problem IV