specsdragon121
specsdragon121 specsdragon121
  • 02-05-2020
  • Mathematics
contestada

น.
[tex]x = 1 - \sqrt{2} find \:(x - \frac{1}{x} ) {4}[/tex]
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devishri1977
devishri1977 devishri1977
  • 05-05-2020

Answer:

Step-by-step explanation:

[tex]\frac{1}{x}=\frac{1}{1-\sqrt{2}}\\\\=\frac{1*(1+\sqrt{2})}{(1-\sqrt{2})(1+\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1^{2}-(\sqrt{2})}\\\\=\frac{1+\sqrt{2}}{1-2}\\\\=\frac{1+\sqrt{2}}{-1}\\\\= -[1+\sqrt{2}]\\\\x-\frac{1}{x}=1-\sqrt{2}-(-[1+\sqrt{2}])\\\\=1-\sqrt{2}+1+\sqrt{2}\\\\=2[/tex]

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