If-x-y-z-R-and-x-2-y-2-z-2-3-Prove-that-1-4-x-1-4-y-1-4-z-1- Tinku Tara August 12, 2024 Algebra 0 Comments FacebookTweetPin Question Number 210571 by hardmath last updated on 12/Aug/24 Ifx,y,z∈R+andx2+y2+z2=3Provethat14−x+14−y+14−z⩽1 Answered by A5T last updated on 15/Aug/24 ≡1x−4+1y−4+1z−4⩾−11x−4+1y−4+1z−4⩾9x+y+z−121=x2+y2+z23⩾x+y+z3⇒x+y+z⩽3⇒9x+y+z−12⩾9−9=−1⇒14−x+14−y+14−z⩽1 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Prove-that-if-x-pi-2-pi-2-y-x-0-dt-cos-t-y-IR-x-y-0-dt-cosh-t-Next Next post: Question-210542 Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.