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Let P(x) = x^(2) + ax + b be a quadratic...

Let `P(x) = x^(2) + ax + b` be a quadratic polynomial with real coefficients. Suppose there are real numbers `s ne t` such that `P(s) = t` and `P(t) = s`. Prove that `b - st` is a root of the equation `x^(2) + ax +b-st =0`.

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