Let z₁ and z₂ be two complex numbers such that z₁+z₂=5 and z₁³+z₂³=20+15 i Then, |z₁⁴+z₂⁴| equals -

Complex Numbers and Quadratic Equations: JEE Main 2024 Mathematics question

JEE Main 2024 · 31 Jan, Evening shift · Q3166

JEE Main 202431 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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

JEE Main 202431 Jan, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

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 -