Math miscellaneousHard

Question

If one root of the equation ax2 + bx + c = 0 is square of the other, then the value of b3 + ac2 + a2c is :

Options

A.-3abc
B.2abc
C.3abc
D.-2abc

Solution

Let  ′α′  be the one root so
α2  +  α  =  -  &  α3  = 
Eliminating : we get
b3 + ac2 + a2c = 3abc

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