MyQuestionIcon

1

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

Relations between Roots and Coefficients : Higher Order Equations

If alpha and ...

Question

If alpha and beta are zeroes of polynomial x-ax+b then value of alpha ( alpha/beta -beta) + beta (beta/alpha-alpha) is?

Open in App

Solution

Suggest Corrections

thumbs-up

1

Similar questions

α

β

are the zeros of polynomial

x^{2} - a x + b

, then the value of

α^{2} (\frac{α^{2}}{β} - β) + β^{2} (\frac{β^{2}}{α} - α)

Q. If α and β are the zeroes of the quadratic polynomial f(x) = ax² + bx + c, then evaluate :

(i) α − β
(ii)

\frac{1}{α} - \frac{1}{β}

\frac{1}{α} + \frac{1}{β} - 2 αβ

(iv) α²β − αβ²
(v) α⁴ + β⁴
(vi)

\frac{1}{a α + b} + \frac{1}{a β + b}

\frac{β}{a α + b} + \frac{α}{a β + b}

a (\frac{α^{2}}{β} + \frac{β^{2}}{α}) + b (\frac{α}{β} + \frac{β}{α})

α & β

are the zeroes of a quadratic polynomial p(x) and k is any constant, then what is the general form of the polynomial?

α, β

are zeroes of the polynomial

p (x) = x^{2} - x - 4

, then find the value of

\frac{α}{β} + \frac{β}{α} + 3 (\frac{1}{α} + \frac{1}{β}) - 2 α β

α

β

are the zeroes of polynomial

P (x) = x^{2} - 3 x + 2 k

α + β = α . β

, then the value of k is ...............

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relation of Roots and Coefficients

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Relations between Roots and Coefficients : Higher Order Equations

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon