Question

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Plz give step by step answer
If a^2+1/a^2=18 and his not equal to 0 find a-1/a

Answer 1

Answer:

4

Step-by-step explanation:

Given,

a² + 1/a² = 18

Subtract 2 on both sides

a² + 1/a² - 2 = 18 - 2

⇒ a² + 1/a² - 2 = 16

⇒ a² + 1²/a² - 2 = 16

It can be written as

⇒ (a)² + (1/a)² - 2(a)(1/a) = 16

⇒ (a - 1/a)² = 16

⇒ a - 1/a = √16

⇒ a - 1/a = 4

Therefore,

The value of a - 1/a is 4.

Hope it helps!