for-a-b-c-d-e-R-and-a-b-c-d-e-5-find-the-minimum-value-of-a-2-2b-2-3c-2-4d-2-5e-2- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 155568 by mr W last updated on 02/Oct/21 fora,b,c,d,e∈Randa+b+c+d+e=5findtheminimumvalueofa2+2b2+3c2+4d2+5e2=? Answered by qaz last updated on 02/Oct/21 a2+2b2+3c2+4d2+5e2=a2+b212+c213+c214+e215⩾(a+b+c+d+e)21+12+13+14+15=1500137inequalityholdonlya1=b12=c13=d14=e15ie.a=300137b=150137c=100137d=75137e=60137 Commented by mr W last updated on 02/Oct/21 thankssir! Answered by mr W last updated on 02/Oct/21 usingmethodasinQ155495:S=a2+2b2+3c2+4d2+5e2=a2+(b12)2+(c13)2+(d14)2+(e15)2=(a′)2+(b′)2+(c′)2+(d′)2+(e′)2a+b+c+d+e=5a+12×(b12)+13×(c13)+14×(d14)+15×(e15)=5⇒a′+b′2+c′3+d′4+e′5=5Smin=(512+(12)2+(13)2+(14)2+(15)2)2=251+12+13+14+15=1500137 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Question-90030Next Next post: Find-Z-4-1-Hence-show-that-1-w-w-2-w-3-0- Leave a Reply Cancel replyYour email address will not be published.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.