khushiacharya39 khushiacharya39

06-01-2022
Mathematics

contestada

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

Respuesta :

mhanifa mhanifa

06-01-2022

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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