What is 4x^2-y^2-16x+2y+3=0 ?

The solution to 4x^2-y^2-16x+2y+3=0 is Hyperbola with (h,k)=(2,1),a=sqrt(3),b=2sqrt(3)

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4x^2-y^2-16x+2y+3=0

4 x^{2} - y^{2} - 16 x + 2 y + 3 = 0

(h, k) = (2, 1), a = 3, b = 23

Solution steps

4 x^{2} - y^{2} - 16 x + 2 y + 3 = 0

Rewrite

4 x^{2} - y^{2} - 16 x + 2 y + 3 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = 3, b = 23

What is 4x^2-y^2-16x+2y+3=0 ?
The solution to 4x^2-y^2-16x+2y+3=0 is Hyperbola with (h,k)=(2,1),a=sqrt(3),b=2sqrt(3)