dab261
dab261 dab261
  • 02-07-2020
  • Mathematics
contestada

Find m4+ 1/m4 , if m− 1/m =3.

Respuesta :

bleubillet bleubillet
  • 12-07-2020

Answer:

119

Step-by-step explanation:

m - 1/m = 3

([tex](m-\frac{1}{m})^{2} = 9\\m^2 - 2 + \frac{1}{m^2} = 9\\ m^2 + \frac{1}{m^2}) = 11\\ \\[/tex]

[tex](m - \frac{1}{m}) ^4\\ = m^4 -4m^2 - \frac{4}{m^2} + 6 = 81\\ m^4 + \frac{1}{m^4} = 75 +4(m^2 + \frac{1}{m^2})\\ m^4 + \frac{1}{m^4} = 75 +4 * 11 = 119[/tex]

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