Question

Please answer this question​

Answer 1

Given :

$\alpha = \sqrt{5}$

$\beta = - 5$

To form quadratic equation

$x {}^{2} - ( \alpha + \beta )x + \alpha \beta$

$x {}^{2} - ( \sqrt{5} + ( - \sqrt{5}))x \: + \sqrt{5} \times ( - \sqrt{5})$

$x {}^{2} + \sqrt{5} x - \sqrt{5} x - 5$

$x {}^{2} - 5$

Hence correct option is C

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