Question

1. Find the common root between the
equations
(a - b)x2 + (b - c)x + (c - a) = 0 and
(p-q)x2 + (q-r)x + (r - p) = 0​

Answer 1

Answer:

Let (α,β),(β,γ),(γ,α) be the roots of the given three equations .

⇒αβ=qr;βγ=rp;γα=pq

Multiplying these equations we get

α2β2γ2=p2q2r2

⇒αβγ=pqr

Step-by-step explanation:

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