ashmanvaishnav610 ashmanvaishnav610
  • 01-09-2020
  • Mathematics
contestada

If a/\2+1/a/\2=11, then a+1/a=?

Respuesta :

Hrishii
Hrishii Hrishii
  • 01-09-2020

Answer:

[tex] \pm \sqrt{13} [/tex]

Step-by-step explanation:

[tex] \bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13} [/tex]

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