A Frozen-Variable Minimum

★ 7/10algebra Completing the Square AM-GM inequality

Problem

Let $a>b>c>0$ . Find the minimum value of

2a^2+\frac 1{ab}+\frac 1{a(a-b)}-10ac+25c^2.

Answer

Solution

Difficulty	7/10
Topics	algebra, Completing the Square, AM-GM, 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.