Let … and … be two complex numbers such that … and … Then, … equals -

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Complex Numbers

JEE Main 2024 · 31 Jan, Evening shift · Q3166

MathematicsMedium53×since 2002Q3166

Let

z_1

and

z_2

be two complex numbers such that

z_1+z_2=5

and

z_1^3+z_2^3=20+15 i

Then,

\left|z_1^4+z_2^4\right|

equals -

JEE Main 2024 · 31 Jan, Evening shift · Q3166

MathematicsMedium53×since 2002Q3166

Let

z_1

and

z_2

be two complex numbers such that

z_1+z_2=5

and

z_1^3+z_2^3=20+15 i

Then,

\left|z_1^4+z_2^4\right|

equals -