Question

Find a quadratic formula of zeros 5 and -1

Answer 1

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Given:

$\alpha = 5 \: \: \: \: \: \: \beta = - 1$

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$sum = \alpha + \beta = 5 - 1 = 4$

$product \: = \alpha \beta = 5 \times - 1 = - 5$

Quadratic Equation:

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

${x}^{2} - 4x - 5$

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