Question

If A and B are the zeroes of following polynomial, the [1/A] +[1/B] – AB =
( 2-4x+1)

Answer 1

P(x) = x^2 - 4x + 1

A and B are zeroes of P(x)

A + B = 4

AB = 1

(1/A) + (1/B) - AB

=(A+B)/(AB) - AB

=(4/1) - 1

=3

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