x-2-x-a-x-a-a-R-solve-for-x- Tinku Tara June 4, 2023 Algebra 0 Comments FacebookTweetPin Question Number 90194 by behi83417@gmail.com last updated on 21/Apr/20 x2x+a+x=a(a∈R)solvefor:x. Answered by ajfour last updated on 22/Apr/20 letx=tt4=(a−t)(t2+a)t4+t3−at2+at−a2=0let(t2+pt+q)(t2+rt+m)=0⇒t4+(p+r)t3+(m+pr+q)t2+(pm+qr)t+qm=0⇒p+r=1,pr+m+q=−a,pm+qr=a,qm=−a2⇒pm−a2rm=apm2−am−a2r=0m=a2p±a24p2+a2rpm=a2p{1±1+4pr}q=−a2m=(2ap){1∓1+4pr}4prq=a2r{1∓1+4pr}q+m=a2p+a2r±1+4pr(a2p−a2r)−a−pr=a2(p+rpr)±a2(r−ppr)1+4prletpr=z−a−z=a2z±a2z1−16z2⇒(a2z+z+a)2=a24z2(1−16z2)z2+a2+a+2az+a2z+4a2=0z3+2az2+a(5a+1)z+a2=0letz=y−2a3y3−2ay2+4a2y3−8a327+2ay2−8a2y3+8a39+5a2y+ay−10a33−2a23+a2=0y3+(11a23+a)y−70a327+a23=0……… Commented by behi83417@gmail.com last updated on 22/Apr/20 thankyouverymuchdearAjfour.thankyouverymuchdearAjfour. Commented by ajfour last updated on 22/Apr/20 iwilltrytofinish..iwilltrytofinish.. Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: 0-infinity-1-e-x-cosx-dx-x-Next Next post: A-a-b-IR-2-a-2-b-2-1-prove-that-A-can-t-be-written-as-the-cartesian-product-of-two-parts-of-IR- Leave a Reply Cancel replyYour email address will not be published.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.