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Wittaler [7]
3 years ago
7

Part A

Mathematics
1 answer:
Alina [70]3 years ago
3 0

Answer:

60

Step-by-step explanation:

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Answer:

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x^2+\dfrac1{x^2}=3\implies x^4+1=3x^2\implies x^4-3x^2+1=0

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Then

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Multiply numerator and denominator by the denominator's conjugate:

\dfrac{3\pm\sqrt5}{15\pm5\sqrt5}\cdot\dfrac{15\mp5\sqrt5}{15\mp5\sqrt5}=\dfrac{45\pm15\sqrt5\mp15\sqrt5-25}{15^2-(5\sqrt5)^2}=\dfrac{20}{100}=\dfrac15

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With the information given, we can set up the following system of equations:

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