perplexus.info :: Just Math : Quadratic Function Determination

Quadratic Function Determination (Posted on 2024-02-02)

Determine a quadratic function f(x) that satisfies this equation:
f(x)*f(x-1)= f(x^2)

See The Solution Submitted by K Sengupta

Rating: 5.0000 (2 votes)

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re: Solution

Comment 4 of 4 |

(In reply to Solution by Brian Smith)

"From this the second root of f(x) is -r-1 and the second root of f(x-1) is -r."

How did you know which root goes with f(x) and which with f(x-1)?

Was it simply to avoid the unlikely coincidence that the roots of f(x) would be +r and -r ?

Posted by Larry on 2024-02-02 13:29:58

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