Let p and q be two real numbers such that p + q = 3 and p⁴ + q⁴ = 369. Then (1/p + 1/q)⁻² is equal to _ _ _ _ _.

Complex Numbers and Quadratic Equations: JEE Main 2022 Mathematics question

JEE Main 2022 · 26 Jun, Evening shift · Q49

JEE Main 202226 Jun, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let p and q be two real numbers such that p + q = 3 and p⁴ + q⁴ = 369. Then

{\left( {{1 \over p} + {1 \over q}} \right)^{ - 2}}

is equal to _________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2022 · 26 Jun, Evening shift · Q49

JEE Main 202226 Jun, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

Let p and q be two real numbers such that p + q = 3 and p⁴ + q⁴ = 369. Then

{\left( {{1 \over p} + {1 \over q}} \right)^{ - 2}}

is equal to _________.

Your answerType your answer. Integers and decimals are accepted.