If α, β and γ are three consecutive terms of a non-constant G.P. such that the equations α x ² + 2 β x + γ = 0 and x² + x – 1 = 0 have a common root, then α (β + γ) is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2019 Mathematics question

JEE Main 2019 · 12 Apr, Evening shift · Q5055

JEE Main 201912 Apr, Evening shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

\alpha

\beta

and

\gamma

are three consecutive terms of a non-constant G.P. such that the equations

\alpha

x ² + 2

\beta

x +

\gamma

= 0 and x² + x – 1 = 0 have a common root, then

\alpha

(

\beta

\gamma

) is equal to :