Q. 114.2( 9 Votes )

If the roots of t

Answer :

For a quadratic equation, ax2 + bx + c = 0,


D = b2 – 4ac


If D = 0, roots are equal


Given, roots of  - are equal.


D = 0

 [2(a2 – bc)]2 – 4(c2 – ab)(b2 – ac) = 0

4(a2 – bc)2 – 4(c2 – ab)(b2 – ac) = 0


a4 + b2c2 – 2a2bc – b2c2 – a2bc + ab3 + ac3 = 0


a(a3 + b3 + c3 – 3abc) = 0


a = 0 or a3 + b3 + c3 = 3abc

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