Question

Find zeroes of the polynomials

$x {}^{2} \: - \: 3$
And verify relationship between zeroes and co efficient

Answer 1

HOLA

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$x {}^{2} \: - \: 3 \: = \: ( \: x {}^{2} \: - \: \sqrt{3} \: \: \: ) \: + \: ( \: x {}^{2} + \: \sqrt{3} ) \\ \\ x \: = \: \sqrt{3} \: ... \: x \: = \: - \sqrt{3} \\ \\ ( \: \alpha \beta ) \: = \: \sqrt{3} \: \times \: - \: \sqrt{3} = \: - 3 \\ \\ ( \: \alpha \: + \: \beta \: ) \: = \: \sqrt{3} + \: - \sqrt{3} = 0$
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