An Integer Trap

★ 8/10functions calculus Substitution Estimation

Problem

Suppose $x_1\ln x_1 = x_2\ln x_2$ with $x_1 < x_2$ , and the integer

k = \frac{5}{2}\left(x_1 + x_2 + 2\sqrt{x_1x_2}\right).

Find $k$ .

Answer

Solution

Difficulty	8/10
Topics	functions, calculus, Substitution, Estimation

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.