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(a^3+b^3)^2=(a^2+b^2)^3 find (a/b)+(b/a) please give the solution

(a^3+b^3)^2=(a^2+b^2)^3
find (a/b)+(b/a)
please give the solution

Grade:11

6 Answers

Varun Acharya
39 Points
10 years ago
dude just expand both the sides..... v get on simplification 2ab = 3(a^2)+3(b^2)....... then take 2ab on the rhs then cancelling common terms..... v get 1=3/2(a/b + b/a) i.e., 2/3= a/b + b/a.... u got???? is the answer correct??? gimme a reply....
Shrey
49 Points
10 years ago
That`s right.thanks
Deepak Bohra
18 Points
10 years ago
Dude I think you are right :)
MuraliKrishna Medavaram
askIITians Faculty 33 Points
10 years ago
(a^3+b^3)^2=(a^2+b^2)^3
then (a^3+b^3)^2=a^6[1+(b/a)^2]^3
(a^3+b^3)^2 / (a^6)=[1+(b/a)^2]^3
(1+(b/a)^3)^2=[1+(b/a)^2]^3
1+2(b/a)^3+(b/a)^6=1+3(b/a0^2+3(b/a)^4+(b/a)^6
cancelling 1+(b/a)^6 both sides we get
3(b/a)^2-2(b/a)^3+3(b/a)^4=0
dividing by (b/a)^3
3(b/a+a/b)=2
then a/b+b/a=2/3
thanks and regards
M.MURALIKRISHNA
askIITIANS FACULTY
Pratik Tibrewal
askIITians Faculty 37 Points
10 years ago
a^6 + b^6 + 2a^3. b^3 = a^6 + b^6 + 3a^4 b^2 + 3 a^2 b^4
=> 2 a^3 b^3 = 3 a^4 b^2 + 3 a^2 b^4
divide both sides by a^3 b^3, we get
2 = 3 a/b + 3b/a
a/b + b/a = 2/3


Thanks and Regards,
Pratik Tibrewal,
askiitians faculty,
BTech
MuraliKrishna Medavaram
askIITians Faculty 33 Points
10 years ago

175-448_Untitled.jpg
Thanks and Regards,
M.MURALIKRISHNA
askIITians faculty

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