Menu Close

given-a-b-b-c-c-a-a-b-b-c-c-a-1-30-what-the-value-of-b-a-b-c-b-c-a-c-a-

Tinku Tara 0 Comments
Pin




Question Number 77604 by jagoll last updated on 08/Jan/20
given (((a−b)(b−c)(c−a))/((a+b)(b+c)(c+a)))=−(1/(30)) what the value of (b/(a+b))+(c/(b+c))+(a/(c+a)) ?
given(a−b)(b−c)(c−a)(a+b)(b+c)(c+a)=−130whatthevalueofba+b+cb+c+ac+a?
Answered by key of knowledge last updated on 08/Jan/20
not have constat answer. if:((a−b)/(a+b))=k (and (b/(a+b))=((1−k)/2)) ((b−c)/(b+c))=j ((c/(b+c))=((1−j)/2)) ⇒((c−a)/(c+a))=−((j+k)/(1+jk)) (((a−b)(b−c)(c−a))/((a+b)(b+c)(c+a)))=−(1/(30))⇒k=((j−30j^2 ∓(√(j(900j^3 −60j^2 +j+120)))/(60j)) (b/(a+b))+(c/(b+c))+(a/(c+a)) =?=(1/(30))(((91)/2)+(1/(kj)))
nothaveconstatanswer.if:a−ba+b=k(andba+b=1−k2)b−cb+c=j(cb+c=1−j2)⇒c−ac+a=−j+k1+jk(a−b)(b−c)(c−a)(a+b)(b+c)(c+a)=−130⇒k=j−30j2∓j(900j3−60j2+j+12060jba+b+cb+c+ac+a=?=130(912+1kj)
Answered by john santu last updated on 09/Jan/20
Commented by mr W last updated on 09/Jan/20
there is no unique solution! what you did is only one possible value. using the same path as you we can also get for example 1−((2b)/(a+b))=−1 ⇒(b/(a+b))=1 1−((2c)/(b+c))=−(1/5) ⇒(c/(b+c))=(3/5) 1−((2a)/(c+a))=−(1/6) ⇒(c/(b+c))=(7/(12)) ⇒(b/(a+b))+(c/(b+c))+(a/(c+a))=1+(3/5)+(7/(12))=((131)/(60)) if a,b,c ∈R, there are infinite solutions. this is clear, since we have three variables (=unknowns), but only one condition (=equation), you can not get an unique value for the function.
thereisnouniquesolution!whatyoudidisonlyonepossiblevalue.usingthesamepathasyouwecanalsogetforexample1−2ba+b=−1⇒ba+b=11−2cb+c=−15⇒cb+c=351−2ac+a=−16⇒cb+c=712⇒ba+b+cb+c+ac+a=1+35+712=13160ifa,b,c∈R,thereareinfinitesolutions.thisisclear,sincewehavethreevariables(=unknowns),butonlyonecondition(=equation),youcannotgetanuniquevalueforthefunction.
Commented by john santu last updated on 09/Jan/20
yes, i agree with your opinion sir the answer i posted is not a single answer . considering the problem is not displayed, then i take one possible answer
yes,iagreewithyouropinionsirtheansweripostedisnotasingleanswer.consideringtheproblemisnotdisplayed,thenitakeonepossibleanswer

Pin

Leave a Reply

Your email address will not be published. Required fields are marked *