Write the solution set of the equation $x^{2} + x - 2 = 0$ in roster form.

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Solution

Given: Equation $x^{2} + x - 2 = 0$
$\Rightarrow x^{2} + 2 x - x - 2 = 0$
$\Rightarrow x (x + 2) - 1 (x + 2) = 0$
$\Rightarrow (x + 2) (x - 1) = 0$
$\Rightarrow x = 1, - 2$
$∴$ The solution set of given equation can be written in roster form as ${- 2, 1}$

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