The numbers of pairs (a, b) of real numbers, such that whenever α is a root of the equation x² + ax + b = 0, α ² - 2 is also a root of this equation, is:

Complex Numbers and Quadratic Equations: JEE Main 2021 Mathematics question

JEE Main 2021 · 1 Sep, Evening shift · Q5098

JEE Main 20211 Sep, Evening shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

The numbers of pairs (a, b) of real numbers, such that whenever

\alpha

is a root of the equation x² + ax + b = 0,

\alpha

-

2 is also a root of this equation, is :

JEE Main 2021 · 1 Sep, Evening shift · Q5098

JEE Main 20211 Sep, Evening shiftMathematicsHardComplex Numbers and Quadratic Equations264× since 2002

The numbers of pairs (a, b) of real numbers, such that whenever

\alpha

is a root of the equation x² + ax + b = 0,

\alpha

-

2 is also a root of this equation, is :