Lf - - are the roots of the equation x2-x-1 -0 then -4-4-

The correct option is A 1 α = ω and β = ω^2 Hence, #160; α^4 + β^4 = ω^4 + ω^8 = ω + ω^2 = 1 ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Algebra of Limits

lf α, β are...

Question

lf $α, β$ are the roots of the equation $x^{2} + x + 1 = 0$ then $α^{4} + β^{4} =$

- 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

0

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

Suggest Corrections

Similar questions

α, β, γ

x^{3} + x^{2} + x + 1 = 0

α^{4} + β^{4} + γ^{4}

α, β

1 + x + x^{2} = 0

α^{4} + β^{4} + α^{- 4} β^{- 4} =

α

β

x^{2} - x - 1 = 0

(α^{4} + β^{4})

α

β

x^{2} + p x + q = 0

α^{4}, β^{4}

x^{2} - r x + s = 0

x^{2} - 4 q x + (2 q^{2} - r) = 0

α, β, γ

x^{3} - 7 x^{2} + 14 x - 8 = 0

\frac{1}{α^{4}} + \frac{1}{β^{4}} + \frac{1}{γ^{4}} =

Join BYJU'S Learning Program