If a and b are real numbers such that (2+\\alpha)^{4}= {a}+ {b} \\alpha, where \\alpha= {-1+ {i} \\sqrt{3}/{2}, then {a}+ {b} is equal to : [4 Sep 2020 Shift 2]

JEE Mains 04-Sep-2020 Shift 2 Solved Paper

Section: Mathematics

Question : 63 of 75

Marks: +1, -0

If a and b are real numbers such that (2+α)4=a+bα, where α=

−1+i√3

, then a+ b is equal to :

[4 Sep 2020 Shift 2]

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