Math, asked by Talib6553, 2 months ago

If X=1/3+2root2 Then xsquare+1/xsquare

Answers

Answered by sandy1816
1

x =  \frac{1}{3 + 2 \sqrt{2} }  \\ x =  \frac{1}{3 + 2 \sqrt{2} }  \times  \frac{3 - 2 \sqrt{2} }{3 - 2 \sqrt{2} }  \\ x =  \frac{3 - 2 \sqrt{2} }{9 - 8}  \\ x = 3 - 2 \sqrt{2}  \\  \\  \frac{1}{x}  = 3 + 2 \sqrt{2}  \\  \\ x +  \frac{1}{x}  = 6 \\ ( {x +  \frac{1}{x} })^{2}  = 36 \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  + 2 = 36 \\  {x}^{2}  +  \frac{1}{ {x}^{2} }  = 34

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