Take the game till the root!
If and are the distinct roots of the equation
what is the value of ?
The answer is -1.
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1 solution
If we have x 2 + α x + β = 0 ⇒ ( x − α ) ( x − β ) = 0 , then by Vieta's Formulae we have:
α + β = − α ;
α β = β
which solves as α = 1 , β = − 2 , and α + β = − 1 .