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omeli [17]
2 years ago
14

If a+1/a=3 then find the value of a-1/a​

Mathematics
1 answer:
kenny6666 [7]2 years ago
4 0

Answer:

  • √5

Step-by-step explanation:

<u>Given a + 1/a = 3, find its square:</u>

  • a² + 2a*1/a + 1/a² = 9
  • a² + 1/a² = 9 - 2 = 7

<u>Now find the square of (a - 1/a):</u>

  • a² - 2a*1/a + 1/a² =
  • a² + 1/a² - 2

<u>Substitute the value from the first square:</u>

  • 7 - 2 = 5

<u>Since (a - 1/a)² = 5, its square root is:</u>

  • a - 1/a = √5
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