Question

If a+1/a=3 then find the value of a-1/a​

Answer 1

• √5

Explanation:

Given a + 1/a = 3, find its square:

• a² + 2a*1/a + 1/a² = 9
• a² + 1/a² = 9 - 2 = 7

Now find the square of (a - 1/a):

• a² - 2a*1/a + 1/a² =
• a² + 1/a² - 2

Substitute the value from the first square:

• 7 - 2 = 5

Since (a - 1/a)² = 5, its square root is:

• a - 1/a = √5