Find-all-set-of-ordered-triple-s-x-y-z-x-y-z-such-that-x-y-1-z-3-x-2-y-2-5-1-z-2-7-x-3-y-3-19-1-z-3-Please-show-your-solution- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 31286 by 6123 last updated on 05/Mar/18 Findallsetoforderedtriple/s(x,y,z),x,y,z∈ℜ,suchthatx−y=1−z3(x2−y2)=5(1−z2)7(x3−y3)=19(1−z3).Pleaseshowyoursolution. Commented by 6123 last updated on 06/Mar/18 Thankyou!! Answered by MJS last updated on 05/Mar/18 obviouslyalltriples(x,y,1)withx=y∈Rsolvethegivenequations3(x2−y2)=5(1−z)(1+z)from(i):(1−z)=(x−y)3(x−y)(x+y)=5(x−y)(1+z)3(x+y)=5(1+z)x=53(1+z)−yinto(i):53(1+z)−2y=1−zy=13+43zx=43+13z(fromabove)into(iii):7((43+13z)3−(13+43z)3)=19−19z3z3−72z2+72z−1=0(z−1)(z2−52z+1)=0z1=1;z2=12;z3=2x1=53;x2=32;x3=2y1=53;y2=1;y3=3sowehave(r;r;1)withr∈R(32;1;12)(2;3;2) Commented by 6123 last updated on 06/Mar/18 Thankyou!!! Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: u-2-v-v-2-u-12-1-u-1-v-1-3-find-u-and-v-Next Next post: Question-31287 Leave a Reply Cancel replyYour email address will not be published.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.