wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

If α,β are the roots of ax2+bx+c=0 (a0) and α+β,α2+β2,α3+β3 are in G.P., then the value of cΔ is
(where Δ=b24ac)

Open in App
Solution

ax2+bx+c=0
αβ=ca

α+β,α2+β2,α3+β3 are in G.P.
(α+β)×(α3+β3)=(α2+β2)2β3α+βα3=2α2β2β3αα2β2α2β2+βα3=0β2α(βα)βα2(βα)=0(βα)(βα2αβ2)=0αβ(αβ)2=0αβ=0 or α=βc=0 or Δ=0cΔ=0

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Geometric Progression
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon