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Quantitative Aptitude

Descartes' Rule

If a,b,c are ...

Question

If a,b,c are the roots of the equation $x^{3} - 4 x + 24 = 0$ , then the equation whose roots are b+c, c+a and a+b is given by:

A

x^{3} - 4 x - 24 = 0

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B

x^{3} - 6 x + 24 = 0

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C

x^{3} + 4 x - 24 = 0

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D

N o n e o f t h e s e

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Solution

The correct option is A $x^{3} - 4 x - 24 = 0$
Option (A) is the correct answer. Check the video for the approach.

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Similar questions

Q. If a,b,c are the roots of the equation

x^{3} - 4 x + 24 = 0

, then the equation who’s roots are b+c,c+a and a+b is given by?

Q. If a,b,c are the roots of the equation x³-4x+24=0, then the equation who’s roots are b+c,c+a and a+b is given by?

Q. If the roots of

x^{3} + 3 x^{2} + 4 x - 11 = 0

a, b

c

x^{3} + r x^{2} + s x + t = 0

a + b, b + c

c + a

, then the value of

t

α, β, γ

are the roots of the equation

x^{3} - 3 x + 11 = 0

, then the equation whose roots are

(α + β), (β + γ)

(γ + α)

x_{1}

x_{3}

are the roots of the equation

A x^{2} - 4 x + 1 = 0

x_{2}

x_{4}

are the roots of the equation

B x^{2} - 6 x + 1 = 0

x_{1}, x_{2}, x_{3}, x_{4}

form a H.P. then

(A, B) =

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