Math, asked by UVkhurana, 7 months ago

if a^2+1/a^2=18 and a is not 0,find: a-1/a​

Answers

Answered by prem4324v
5

Answer:

a - 1/a = 4

Step-by-step explanation:

(ii) 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

(a)² + (1/a)² - 2(a)(1/a) = 16

[Because (x - y)² = x² + y² - 2xy above x = a, y = 1/a]

⇒ (a - 1/a)² = 16

a - 1/a = √16

a - 1/a = 4

Identities used :-

(x - y)² = x² + y² - 2xy

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