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Complex Numbers question

2024 · 29 Jan · Shift 1 · Q58

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JEE Main
Mathematics
Complex Numbers
2024 · 29 Jan · Shift 1 · Q58

Complex Numbers question

2024 · 29 Jan · Shift 1 · Q58

JEE MainMathematicsComplex NumbersNumerical+4 / −1

Let

\alpha, \beta

be the roots of the equation

x^2-x+2=0

with

\operatorname{Im}(\alpha)\gt \operatorname{Im}(\beta)

. Then

\alpha^6+\alpha^4+\beta^4-5 \alpha^2

is equal to

\underline{\hspace{2cm}}

.

Numerical answer

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