Question

If a+1/a=5, find the difference between a and 1/a.​

Answer 1

⭐Solutions⭐

✏Given here

a + 1/a = 5.......(1)

Now ,

(a + 1/a )² = a² + 1/a² + 2

by (1),

(5)² = a²+ 1/ a² +2

=> a² + 1/a² = 25-2

=>a² +1/a² = 23....//(2)

Now,

(a - 1/a)² = a² + 1/a² - 2

by (2) ,

(a - 1/a )² = (23) -2

=> (a - 1/a )² = 21

=> (a - 1/a ) = ±√21

✏Hopes its help's u.

Answer 2

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