Question

please solve question 23

Answer 1

Answer:

5/2

Step-by-step explanation:

Given Equation is x² + (1/x²) = 17/4   --- (1)

It can be written as,

⇒ x² + (1/x²) = (25/4) - 2

⇒ x² + (1/x²) + 2 = 25/4

⇒ (x + 1/x)² = 25/4

⇒ (x + 1/x) = √25/4

⇒ (x + 1/x) = 5/2.

Now,

Equation (1) can also be written as,

⇒ x² + (1/x²) = 17/4

⇒ x² + (1/x)² = (9/4) + 2

⇒ x² + (1/x)² - 2 = 9/4

⇒ (x - 1/x)² = 9/4

⇒ (x - 1/x) = 3/2

Given Equation is:

⇒ (2/5)[x + 1/x] + [x - 1/x]

⇒ (2/5)[5/2] + [3/2]

⇒ 1 + 3/2

⇒ 5/2.

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Answer 2

Answer:

answers are 5/2 and -1/2