jee-main 2021 Q61

jee-main · India · session1_24feb_shift1 Solving quadratics and applications Finding roots or coefficients of a quadratic using Vieta's relations

Let $p$ and $q$ be two positive numbers such that $p + q = 2$ and $p ^ { 4 } + q ^ { 4 } = 272$. Then $p$ and $q$ are roots of the equation:
(1) $x ^ { 2 } - 2 x + 2 = 0$
(2) $x ^ { 2 } - 2 x + 8 = 0$
(3) $x ^ { 2 } - 2 x + 136 = 0$
(4) $x ^ { 2 } - 2 x + 16 = 0$

Let $p$ and $q$ be two positive numbers such that $p + q = 2$ and $p ^ { 4 } + q ^ { 4 } = 272$. Then $p$ and $q$ are roots of the equation:\\
(1) $x ^ { 2 } - 2 x + 2 = 0$\\
(2) $x ^ { 2 } - 2 x + 8 = 0$\\
(3) $x ^ { 2 } - 2 x + 136 = 0$\\
(4) $x ^ { 2 } - 2 x + 16 = 0$

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