20. If a+ (1)/(a) = √(29) , find the values of 2a- (2)/(a) ​

Question

20. If a+


`(1)/(a)`
=

`√(29)`
, find the values of 2a-

`(2)/(a)`
​

Answer 1

• 10

Explanation:

Given:

• a + 1/a =
  `√(29)`

Square both sides:

• a² + 1/a² + 2 = 29
• a² + 1/a² = 27

Now, square the 2a - 2/a:

• 2(a - 1/a)² =
• 4(a² + 1/a² - 2) =
• 4(27 - 2) = Substitute 27
• 4*25

Find the square root:

• 
  `√(4*25) = 10`