Question

ifa+1/a=17/4,find the value of (a-1/a)​

Answer 1

HEY MATE HERE IS YOUR

SEE THE ATTACHMENT

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Answer 2

Answer:

15/4

Step-by-step explanation:

Given,

a + (1/a) = 17/4

On Squaring both sides, we get

(a + 1/a)² = (17/4)²

⇒ a² + 1/a² + 2 = 289/16

On subtracting with '4' on both sides, we get

⇒ a² + 1/a² + 2 - 4 = (289/16) - 4

⇒ a² + 1/a² - 2 = (289 - 64)/16

⇒ a² + 1/a² - 2 = 225/16

[∵ a² + b² - 2ab = (a - b)²]

⇒ (a - 1/a)² = (15/4)²

⇒ (a - 1/a) = 15/4

Hope it helps!