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Algebra Matrix & Vector Numerical Methods Statistical Methods Operation Research Word Problems Calculus Geometry Pre-Algebra


Method and examples
1. If `x+1/x=2` then find `x^2+1/x^2`
1. If  =  then find  
  1. If `x+1/x=2` then find `x-1/x`
  2. If `x+1/x=2` then find `x^2+1/x^2`
  3. If `x-1/x=6` then find `x^2+1/x^2`
  4. If `x-1/x=6` then find `x^2-1/x^2`
  5. If `x-1/x=6` then find `x^3+1/x^3`
  6. If `x-1/x=6` then find `x+1/x`
  7. If `x^2+1/x^2=23` then find `x+1/x`
2. If  =  and  =  then find    
  1. If `x+y=5` and `xy=6` then find `x^2+y^2`
  2. If `x+y=5` and `xy=6` then find `x^2-y^2`
  3. If `x+y=3` and `x-y=15` then find `x^2+y^2`
3. If  =  and  =  then find  
  1. If `x+y+z=9` and `x^2+y^2+z^2=29` then find `xy+yz+zx`
  2. If `x^2+y^2+z^2=29` and `xy+yz+zx=-14` then find `x+y+z`
4. If  =  and  =  then find  =  then find  
  1. If `x+y+z=1,xy+yz+zx=-1` and `xyz=-1` then find `x^3+y^3+z^3`
  2. If `x+y+z=12,xy+yz+zx=47` and `x^3+y^3+z^3=216` then find `xyz`
  3. If `x+y+z=10,xyz=15` and `x^3+y^3+z^3=75` then find `x^2+y^2+z^2-xy-yz-zx`
  4. If `x+y+z=10,xyz=15` and `x^3+y^3+z^3=75` then find `xy+yz+zx`
  5. If `xy+yz+zx=47,xyz=60` and `x^3+y^3+z^3=216` then find `x+y+z`


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