If each pair of the following three equations: x² + a₁x + b₁ = 0 , x² + a₂x + b₂ = 0 and x² + a₃x + b₃ = 0 has exactly one root in common, then show that ( a₁ + a₂ + a₃ )² = 4( a₂a₃ + a₃a₁ + a₁a₂ - b₁ - b₂ - b₃).

Dear student,

Let us assume @ be the common root then it satisfies all these equations, so make use of this property to prove the equation in question..

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Sagar Singh

B.Tech, IIT Delhi

 how??? plz explain