A Double-Radical Range

★ 6/10Parametrization algebra Cauchy-Schwarz inequality Casework

Problem

Real numbers $x, y$ satisfy

x - 4\sqrt{y} = 2\sqrt{x - y}.

Find the range of possible values of $x$ .

Answer

Solution

Difficulty	6/10
Topics	Parametrization, algebra, Cauchy-Schwarz, inequality, Casework

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.