An Ellipse in Disguise

★ 5/10plane geometrySubstitutionalgebraCompleting the Squareanalytic geometry

Problem

Solve the inequality

x2+4x+8+x2−4x+8⩽6.\sqrt{x^2 + 4x + 8} + \sqrt{x^2 - 4x + 8} \leqslant 6.

Answer

Solution

Difficulty5/10
Topicsplane geometry, Substitution, algebra, Completing the Square, analytic geometry

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
Log in to join the discussion.

No comments yet.