If $\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 :

Question

If $\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 :

$\alpha $$\gamma $

$\beta $$\gamma $

$\alpha $$\beta $

Solution

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