If the roots of the equation (a^2 - bc) x^2+ 2(b^2 - ac) x + (c^2-ab)=0 are equal, where b \neq 0, then which one of the following is correct ? [2014 CDS-I]

Correct Answer is : a3+b3+c3=3abc

UPSC 2014 CDS I Math Paper

Question : 26 of 100

Marks: +1, -0

If the roots of the equation

(a2−bc)x2+2(b2−ac)x+(c2−ab)=0

are equal, where b≠0, then which one of the following is correct ?

[2014 CDS-I]

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