Question-159469 Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 159469 by 0731619 last updated on 17/Nov/21 Commented by cortano last updated on 17/Nov/21 x=uandy=v{u3+v3=35u2v+uv2=30{u3+v3=35⇒(u+v)3−3uv(u+v)=35uv(u+v)=30⇒(u+v)3=125⇒u+v=5⇒uv=6⇒u(5−u)=6⇒u2−5u+6=0⇒{u=3;v=2u=2;v=3⇒{x=9;y=4x=4;y=9 Answered by FongXD last updated on 17/Nov/21 {x3+y3=35(1)x2y+xy2=30(2)∙take(1)+3(2):⇔x3+3x2y+3xy2+y3=125⇔(x+y)3=53,⇒x+y=5(3)squarebothsides,⇔x+y+2xy=25⇒x+y−xy=25−3xy(1):x3+y3=35⇔(x+y)(x−xy+y)=35⇔5(25−3xy)=35⇔xy=6,⇒xy=36ifyouwanttofindthevaluesofxandywhichsatisfythesystemofEq.above,justsubstitutex=6yinto(3). Commented by Rasheed.Sindhi last updated on 17/Nov/21 Niceapproach! Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Let-be-the-binary-operation-on-the-set-1-2-3-4-5-defined-by-a-b-H-C-Fof-a-and-b-Is-the-operation-same-as-the-operation-defined-above-justify-your-answer-Next Next post: 1-tan-x-dx- Leave a Reply Cancel replyYour email address will not be published.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.