CameraIcon

SearchIcon

MyQuestionIcon

1

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

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

If α and ...

Question

If $α$ and $β$ are zeros of the polynomial $2 x^{2} - 4 x + 5$ , find the values of:
$(α - β)^{2}$

A

- 6

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

B

1

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

C

6

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

D

3

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

Open in App

Solution

The correct option is A $- 6$
$(α - β)^{2} = α^{2} + β - 2 α β = (α - + β)^{2} - 4 α β = [(\frac{- (- 4)}{2})]^{2} - 4 \cdot (\frac{5}{2}) = 4 - 10 - 6$

Suggest Corrections

thumbs-up

0

Similar questions

α

β

are zeros of the polynomial

2 x^{2} - 4 x + 5

, find the values of

α^{2} + β^{2}

α

β

are the zeros of the polynomial

2 x^{2} - 4 x + 5

, find the value of
(i)

α^{2} + β^{2}

\frac{1}{α} + \frac{1}{β}

(α - β)^{2}

α^{3} + β^{3}

α

β

are zeros of the quadratic polynomial

2 x^{2} + 3 x - 6

, then find the values of :

α^{2} + β^{2}

β

\frac{1}{β}

are zeros of the polynomial

(α^{2} + α) x^{2} + 61 x + 6 α

. Find the values of

α

β

.

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Relationship Between Zeroes and Coefficients of a Quadratic Polynomial

Standard X Mathematics

Join BYJU'S Learning Program

CrossIcon