What is 4(x-2)^2-(y-1)^2=63 ?

The solution to 4(x-2)^2-(y-1)^2=63 is Hyperbola with (h,k)=(2,1),a=(3sqrt(7))/2 ,b=3sqrt(7)

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4(x-2)^2-(y-1)^2=63

4 (x - 2)^{2} - (y - 1)^{2} = 63

(h, k) = (2, 1), a = \frac{3 7}{2}, b = 37

Solution steps

4 (x - 2)^{2} - (y - 1)^{2} = 63

Rewrite

4 (x - 2)^{2} - (y - 1)^{2} = 63

in the form of a standard hyperbola equation

\frac{( x - 2 ) ^{2}}{( \frac{3 7}{2} ) ^{2}} - \frac{( y - 1 ) ^{2}}{( 3 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 1), a = \frac{3 7}{2}, b = 37

\frac{( y + 5 ) ^{2}}{4} - \frac{( x + 2 ) ^{2}}{9} = 1

\frac{( x - 6 ) ^{2}}{4} - \frac{y ^{2}}{9} = 1

25 x^{2} - 32 y^{2} - 800 = 0

3 x^{2} - 3 y^{2} - 2 x + y - 6 = 0

\frac{( x - 1 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

What is 4(x-2)^2-(y-1)^2=63 ?
The solution to 4(x-2)^2-(y-1)^2=63 is Hyperbola with (h,k)=(2,1),a=(3sqrt(7))/2 ,b=3sqrt(7)