If , then roots of the equation…

MATHEMATICS · Single correct · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

If

a + b + c = 0

,

a, b, c \in \mathbb{Q}

then roots of the equation

(b+c-a)x^2 + (c+a-b)x + (a+b-c) = 0

are: (a) rational (b) irrational (c) imaginary (d) none of these

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