khushiacharya39
Answered

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

Sagot :

mhanifa

Answer:

  • √5

Step-by-step 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
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