Ashvin1
Ashvin1 Ashvin1
  • 24-03-2017
  • Mathematics
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If x+1/x=4,find the value of (x-1/x)^2

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konrad509
konrad509 konrad509
  • 24-03-2017
[tex]\left(x-\dfrac{1}{x}\right)^2=\\ x^2-2+\dfrac{1}{x^2}=\\ x^2+2+\dfrac{1}{x^2}-4=\\ \left(x+\dfrac{1}{x}\right)^2-4=\\ 4^2-4=16-4=12 [/tex]
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