What is f(x)(f(x))=x^2-x+1 ?

The solution to f(x)(f(x))=x^2-x+1 is Hyperbola with (h,k)=(1/2 ,0),a=(sqrt(3))/2 ,b=(sqrt(3))/2

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f(x)(f(x))=x^2-x+1

f (x) (f (x)) = x^{2} - x + 1

(h, k) = (\frac{1}{2}, 0), a = \frac{3}{2}, b = \frac{3}{2}

Solution steps

yy = x^{2} - x + 1

Rewrite

yy - x^{2} + x - 1 = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{3}{2} ) ^{2}} - \frac{( x - \frac{1}{2} ) ^{2}}{( \frac{3}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (\frac{1}{2}, 0), a = \frac{3}{2}, b = \frac{3}{2}

16 x^{2} - y^{2} = 64

3 x^{2} + 2 y + x = 2 y^{2} - y - x - 2

4 x^{2} - 9 y^{2} - 16 x - 36 y + 16 = 0

19 x^{2} - 16 y^{2} + 54 x - 63 = 0

16 + y^{2} = x^{2}

What is f(x)(f(x))=x^2-x+1 ?
The solution to f(x)(f(x))=x^2-x+1 is Hyperbola with (h,k)=(1/2 ,0),a=(sqrt(3))/2 ,b=(sqrt(3))/2