Let p and q be real numbers such that p ≠ 0, p^3 ≠ q and p^3 ≠ −q. If α and β are non-zero complex numbers satisfying α + β = - p and \alpha^3+\beta^3 = q, then a quadratic equation having \alpha/\beta and \beta/\alpha as its roots is [JEE Adv 2010 P1]

Correct Answer is : (p3+q)x1−(p3−2q)x+(p3+q)=0

(p^3-q)x^1-(5p^3-2q)x+(p^3-q)=0

(p^3-q)x^1-(5p^3+2q)x+(p^3-q)=0

Quadratic Equation and Inequalities

Section: Mathematics

Question : 21 of 23

Marks: +1, -0

Let p and q be real numbers such that p ≠ 0, p3 ≠ q and p3 ≠ −q. If α and β are non-zero complex numbers satisfying α + β = - p and α3+β3 = q, then a quadratic equation having

and

as its roots is

[JEE Adv 2010 P1]

(p3+q)x1−(p3+2q)x+(p3+q)=0
(p3+q)x1−(p3−2q)x+(p3+q)=0
(p3−q)x1−(5p3−2q)x+(p3−q)=0
(p3−q)x1−(5p3+2q)x+(p3−q)=0

Validate

Go to Question:

Prev Question

Next Question