Melody08
contestada

20. If a+
[tex] \frac{1}{a} [/tex]
=
[tex] \sqrt{29} [/tex]
, find the values of 2a-
[tex] \frac{2}{a} [/tex]
​

Respuesta :

mhanifa

Answer:

  • 10

Step-by-step explanation:

Given:

  • a + 1/a = [tex]\sqrt{29}[/tex]

Square both sides:

  • a² + 1/a² + 2 = 29
  • a² + 1/a² = 27

Now, square the 2a - 2/a:

  • 2(a - 1/a)² =
  • 4(a² + 1/a² - 2) =
  • 4(27 - 2) =                           Substitute 27
  • 4*25

Find the square root:

  • [tex]\sqrt{4*25} = 10[/tex]

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