MyQuestionIcon

1

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

Quadratic Formula for Finding Roots

If α and β ar...

Question

If $α a n d β$ are the roots of the equation $x^{2} - x + 1 = 0 t h e n α^{2009} + β^{2009} =$

A

1

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

B

2

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

C

-1

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

D

-2

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

Open in App

Solution

The correct option is A
1

$x = \frac{1 \pm i \sqrt{3}}{2} ∴ α = - ω, β = - ω^{2}$

Suggest Corrections

thumbs-up

2

Similar questions

α

β

are the roots of the equation

x^{2} - x + 1 = 0

α^{2009} + β^{2009} =

α, β

are the roots of the equation

x^{2} + α x + β = 0

α \neq β

| | x - β | - α | < 1,

α

β

are the roots of the equation

x^{2} - x + 1 = 0,

α^{2009} + β^{2009} =

α, β

are roots of the quadratic equation

x^{2} - x - 1 = 0,

then the quadratic equation whose roots are

\frac{1 + α}{2 - α}, \frac{1 + β}{2 - β}

α, β

are the roots of the equation

x^{2} + x - 15 = 0

\frac{α}{β} + \frac{β}{α}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Quadratic Formula for Finding Roots

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon