If the equations x2 + bx−1 = 0 and x2 + x + b = 0 have a common root different from −1, then $\left| b \right|$ is equal to :

Question

If the equations x² + bx−1 = 0 and x² + x + b = 0 have a common root different from −1, then $\left| b \right|$ is equal to :

$\sqrt 2 $

$\sqrt 3 $

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