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x= 2 + √3
x- 2 = √3
( x-2)^2 =3
X^2 + 4 -4x -3 = 0
x^2 - 4x +1 = 0
x= 2+ √3
x- √3 = 2
Now
x^4 - 4x^3 + x^2 + x -√3
x^2( x^2 - 4x +1) + x -√3
As x^2 - 4x +1 = 0 ( as proved above)
So its x-√3
As x-√3 = 2
So Value is 2
x- 2 = √3
( x-2)^2 =3
X^2 + 4 -4x -3 = 0
x^2 - 4x +1 = 0
x= 2+ √3
x- √3 = 2
Now
x^4 - 4x^3 + x^2 + x -√3
x^2( x^2 - 4x +1) + x -√3
As x^2 - 4x +1 = 0 ( as proved above)
So its x-√3
As x-√3 = 2
So Value is 2
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