If $- 1$ is one root of the quadratic equation $x^{2} - 2 x - 3 = 0$ , then the other root is _____.

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Solution

$x^{2} - 2 x - 320$

one root $= - 1$

let often root $= α$

sum of roots $= \frac{- b}{a} = \frac{- (- 2)}{1} = - 1 + α$

$\Rightarrow α - 1 = 2$

$\Rightarrow α = 3$

using property $a x^{2} + b x - c = 0$

sum of roots $= \frac{- b}{a}$

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