If p,q,r,s,∈ R and α,β are roots of the equation x 2 + px + q = 0 and α 4 and β 4 are…
Mathematics · JEE Advanced · NTA Exams — Complex Numbers and Quadratic Equations
If p,q,r,s,∈ R and α,β are roots of the equation
x2 + px + q = 0 and α4 and β4 are roots of x2 – rx + s = 0, then the roots of x2 – 4qx + 2q2 – r = 0 are
x2 + px + q = 0 and α4 and β4 are roots of x2 – rx + s = 0, then the roots of x2 – 4qx + 2q2 – r = 0 are
- both real
- both positive
- both negative
- none of these
Answer
(A) both real, (D) none of these
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