If a and b are real numbers such that … where … then a + b is equal to :

Complex Numbers

JEE Main 2020 · 4 Sep, Evening shift · Q3234

MathematicsMedium53×since 2002Q3234

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

MathematicsMedium53×since 2002Q3234

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 :