If $x^{5} - x^{2} + 4 x - 9 = 0$ , then $s_{3} + s_{4} - s_{5}$ is:

4

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9

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- 9

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- 4

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Solution

The correct option is C $- 4$
For $x^{5} - x^{2} + 4 x - 9 = 0$
$S_{3} = \frac{- c o e f f . x^{2}}{c o e f f . x^{5}} = 1 S_{4} = \frac{c o e f f . x}{c o e f f . x^{5}} = 4 S_{5} = \frac{- c o n s t a n t}{c o e f f . x^{5}} = 9$
Therefore,
$S_{3} + S_{4} + S_{5} = 1 + 4 - 9 = - 4$

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x^{4} + 2 x^{3} - 4 x^{2} - 4 x + 4 = 0

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S_{3} : \sqrt{(- 4) \times (- 9)} = \sqrt{36}

S_{4} : \sqrt{36} = 6

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