Question

25. If a, b, c are rational, prove that the roots of the equation (b - c)x2 + (c-a)x + ( a - b) = 0
are also rational.
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Answer 1

Answer:

25. If a, b, c are rational, prove that the roots of the equation (b - c)x2 + (c-a)x + ( a - b) = 0

are also rational.

Answer=(b-c) x2+(c-a) x+(a-b)

Answer 2

Answer:

$delta = b ^{2} - 4ac$

$here \: \\ a = b - c \\ b = c -a \\ c = a - b$

$compare \: with \: ax { }^{2} + bx + c = 0$

$(c - a) {}^{2} - 4(b - c)(a - b)$

it is not real there is an mistake in the question so please check

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