A Distance Between Curves

★ 7/10algebra Logarithms AM-GM analytic geometry inequality

Problem

Given

\ln a - \ln 3 = \ln c, \qquad bd = -3,

find the minimum value of $(a - b)^2 + (c - d)^2$ .

Answer

Solution

Difficulty	7/10
Topics	algebra, Logarithms, AM-GM, analytic geometry, inequality

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.