Question

if (a^2+1/a^2=18)ans a=+-0 find a-1/a​

Answer 1

Answer:

a - 1/a = ±4

Step-by-step explanation:

Given : a² + 1/a² = 18

To find : The value of a - 1/a ?

Solution :

Using identity,

(X - y)² = x² + y² - 2xy

Let x = a and y = 1/a

Substitute in the identity,

(a - 1/a)² = a² + 1/a² - 2×a×1/a

(a - 1/a)² = 18 - 2

(a - 1/a)² = 16

Taking root both side,

a - 1/a = ±4

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