Question

If x 2 + 1 x2 = 18, find the values of x + 1 x , x 4 + 1 x4

Answer 1

Answer:

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Step-by-step explanation:

As we know that x2 + 1/x2 = 18 When adding 2 on both sides, we get x2 + 1/x2 + 2 = 18 + 2 x2 + 1/x2 + 2 × x × 1/x = 20 (x + 1/x)2 = 20 x + 1/x = √20 When subtracting 2 from both sides, we get x2 + 1/x2 – 2 × x × 1/x = 18 – 2 (x – 1/x)2 = 16 x – 1/x = √16 x – 1/x = 4Read more on Sarthaks.com - https://www.sarthaks.com/633722/if-x-2-1-x-2-18-find-the-values-of-x-1-x-and-x-1-x

Answer 2

Step-by-step explanation:

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