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Show that if roots of eqn (a²-bc) x²+2(b²-ac)x +c²-ab=0 are equal then either b=0 or a³+b³+c³=3abc.

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If the roots of a quadratic equation are equal, that means the discriminant equals zero, or
b²-4ac=0 (for ax²+bx+c=0)

So expand the expression and see if you can factorize the result to suit the conditions.

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