If a and b are real numbers such that (2 + α)⁴ = a + bα where α = (- 1 + i 3)/2 then a + b is equal to:

Complex Numbers and Quadratic Equations: JEE Main 2020 Mathematics question

JEE Main 2020 · 4 Sep, Evening shift · Q3234

JEE Main 20204 Sep, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If a and b are real numbers such that

{\left( {2 + \alpha } \right)^4} = a + b\alpha

where

\alpha = {{ - 1 + i\sqrt 3 } \over 2}

then a + b is equal to :

JEE Main 2020 · 4 Sep, Evening shift · Q3234

JEE Main 20204 Sep, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

If a and b are real numbers such that

{\left( {2 + \alpha } \right)^4} = a + b\alpha

where

\alpha = {{ - 1 + i\sqrt 3 } \over 2}

then a + b is equal to :