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  1. If `x+1/x = 2`, then find `x-1/x`
  2. If `x+y = 5` and `x-y = 1`, then find `x^2+y^2`
  3. If `x+y+z = 1` and `x^2+y^2+z^2 = 29`, then find `xy+yz+zx`
  4. If `x+y+z=1,xy+yz+zx=-1` and `xyz=-1` then find `x^3+y^3+z^3`




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