My Quadratics
If satisfies strictly more than two values of x then the value of 'a' is
The answer is 1.
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1 solution
Moderator note:
Simple standard approach.
The question could have been made slightly more interesting by posing it as a quartic in instead.
Since the given equation is quadratic and have more than two roots. Then it must be an identity i.e. the function should be 0 for all real values of x
This is possible when coeff of x 2 = coeff of x = constant term
This yields a = 1