Question

If alpha and beta are roots of ax^2+bx+c=0 where a is not equal to zero then calculate alpha + beta

Answer 1

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Answer 2

Using the quadratic formula,
$\alpha = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \\ \beta = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} \\ \alpha + \beta = \frac{ - 2b}{2a} = \frac{ - b}{a}$
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