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Problem If α , β \alpha, \beta α , β x 2 + b x − c = 0 x^2 + bx - c = 0 x 2 + b x − c = 0 b b b c c c x 2 + α x − β = 0 x^2 + \alpha x - \beta = 0 x 2 + α x − β = 0 x 2 − [ ( α + β ) + α β ] x − α β ( α + β ) = 0 x^2 - [(\alpha + \beta) + \alpha\beta]x - \alpha\beta(\alpha + \beta) = 0 x 2 − [( α + β ) + α β ] x − α β ( α + β ) = 0 x 2 + [ ( α + β ) + α β ] x + α β ( α + β ) = 0 x^2 + [(\alpha + \beta) + \alpha\beta]x + \alpha\beta(\alpha + \beta) = 0 x 2 + [( α + β ) + α β ] x + α β ( α + β ) = 0 x 2 + [ ( α + β ) + α β ] x − α β ( α + β ) = 0 x^2 + [(\alpha + \beta) + \alpha\beta]x - \alpha\beta(\alpha + \beta) = 0 x 2 + [( α + β ) + α β ] x − α β ( α + β ) = 0 Browse the problem library