Solve:
$x^{2} - x (α + β) + α β = 0.$

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Solution

Given,

$x^{2} - (α + β) x + α β = 0$

$x^{2} - α x - β x + α β = 0$

$x (x - α) - β (x - α) = 0$

$(x - α) (x - β) = 0$

$∴ x = α, β$

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