Hidden Zeros Align

★ 6/10functions calculus Completing the Square Logarithms inequality

Problem

Let $f(x) = (x + a)\ln(x + b)$ . If $f(x) \geqslant 0$ for all $x$ in the domain, find the minimum value of $a^2 + b^2$ .

Answer

Solution

Difficulty	6/10
Topics	functions, calculus, Completing the Square, Logarithms, 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.