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Complex Numbers question

2024 · 27 Jan · Shift 1 · Q59

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JEE Main
Mathematics
Complex Numbers
2024 · 27 Jan · Shift 1 · Q59

Complex Numbers question

2024 · 27 Jan · Shift 1 · Q59

JEE MainMathematicsComplex NumbersNumerical+4 / −1

If

\alpha

satisfies the equation

x^2+x+1=0

and

(1+\alpha)^7=A+B \alpha+C \alpha^2, A, B, C \geqslant 0

, then

5(3 A-2 B-C)

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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