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.​

Answer 1

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

$\begin{gathered}here \: \\ a = b - c \\ b = c -a \\ c = a - b\end{gathered}$

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

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

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