MyQuestionIcon

1

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

Common Roots

If alpha, bet...

Question

If alpha, beta &gama are the roots of equation x-px+qx+r=0,then find the cubic equation whose roots are:- (1) 1/alpha,1/beta,1/gama. (2) alpha,beta,gama

Open in App

Solution

Suggest Corrections

thumbs-up

1

Similar questions

α, β, γ

are the roots of the cubic

x^{3} - {p x}^{2} + q x - r = 0

, find the equations whose roots are

(β + γ - α), (γ + α - β), (α + β - γ)

α, β, γ

are the roots of the equation

x^{3} + p x^{2} + q x + r = 0

then the coefficient of

x

in the cubic equation whose roots are

α (β + γ), β (γ + α)

γ (α + β)

α, β, γ

are non zero roots of

x^{3} + p x^{2} + q x + r = 0

, then the equation whose roots are

α (β + γ), β (γ + α), γ (α + β)

α, β, γ

are the roots of the equation

x^{3} + q x + r = 0

, then the equation whose roots are

- α^{- 1}, - β^{- 1}, - γ^{- 1}

α, β

be the roots of the equation

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

then the equation whose roots are

\frac{1}{α + β}

\frac{1}{α} + \frac{1}{β}

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Relation of Roots and Coefficients

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon