perplexus.info :: Just Math : Rooting for Roots

Rooting for Roots (Posted on 2015-02-04)

Find the possible range of a real constant m such that the equation:
x² - 2*x*floor(x) + x = m has at least two non-negative roots.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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re: solution

Comment 2 of 2 |

(In reply to solution by Charlie)

A minor error:

At x=2 the LHS is -2.

floor(2)=2

2^2 - 2*2*2 + 2 = -2

M-2 has no solutions.

But nothing of your solution changes.

Posted by Jer on 2015-02-05 09:26:25

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