Consider-the-system-in-N-3-S-p-2-q-2-r-2-q-p-r-24-r-lt-p-q-Show-that-the-triplet-p-q-r-is-solution-to-S-if-and-only-if-r-lt-12-p-and-q-are-solutions-to-the-equation-n-2- Tinku Tara June 4, 2023 None 0 Comments FacebookTweetPin Question Number 96287 by Ar Brandon last updated on 31/May/20 ConsiderthesysteminN3(S):{p2+q2=r2q+p+r=24r<p+qShowthatthetriplet(p:q:r)issolutionto(S)ifandonlyifr<12.pandqaresolutionstotheequation;n2−(24−r)n+24(12−r)=0wherenisanunknown.p Answered by maths mind last updated on 31/May/20 (p+q)2⩾p2+q2⇒p+q+r⩾2r⇔24⩾2r⇒r⩽12(p+q)2=(24−r)2⇔p2+q2+2pq=(24−r)2⇒r2+2pq=576−48r+r2⇒pq=288−24rp+q=24−r⇒(p,q)/solutionofX2−(24−r)X+288−24r=0⇔n2−(24−r)n+12(24−2r)=0 Commented by Ar Brandon last updated on 31/May/20 Thank you �� Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Given-that-1-lt-x-lt-1-find-the-expansion-of-3-2x-1-x-4-x-2-in-ascending-power-of-x-up-to-and-including-the-term-in-x-3-Next Next post: Solve-this-differential-equation-a-L-a-b-L-b-L-where-L-0-a-a-2-sin-2-t-b-2-cos-2-t-dt- Leave a Reply Cancel replyYour email address will not be published.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.