perplexus.info :: Just Math : Reduce to a lower degree

Reduce to a lower degree (Posted on 2021-03-19)

Let P(x) and Q(x) be (monic) polynomials with real coefficients (the first coefficient being equal to 1), and degP(x)=degQ(x)=10.

Prove that if the equation P(x)=Q(x) has no real solutions, then P(x+1)=Q(x-1) has a real solution.

No Solution Yet Submitted by Danish Ahmed Khan

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	Subject	Author	Date
	Solution	Jer	2021-03-20 12:01:27

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