What is ((x-6)^2)/(48)-(y-2)^2=1 ?

The solution to ((x-6)^2)/(48)-(y-2)^2=1 is Hyperbola with (h,k)=(6,2),a=4sqrt(3),b=1

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((x-6)^2)/(48)-(y-2)^2=1

\frac{( x - 6 ) ^{2}}{48} - (y - 2)^{2} = 1

(h, k) = (6, 2), a = 43, b = 1

Solution steps

\frac{( x - 6 ) ^{2}}{48} - (y - 2)^{2} = 1

Rewrite

\frac{( x - 6 ) ^{2}}{48} - (y - 2)^{2} = 1

in the form of a standard hyperbola equation

\frac{( x - 6 ) ^{2}}{( 4 3 ) ^{2}} - \frac{( y - 2 ) ^{2}}{1 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (6, 2), a = 43, b = 1

1680 = \frac{a}{b} a - b

a^{2} + 9 = c^{2}

3 x^{2} - 2 y^{2} + 4 y - 26 = 0

24 a - a^{2} + b^{2} - 1 = 0

x, 4 x^{2} - 2 m (x)^{2} - 25 x + 50 m (x) = 0

What is ((x-6)^2)/(48)-(y-2)^2=1 ?
The solution to ((x-6)^2)/(48)-(y-2)^2=1 is Hyperbola with (h,k)=(6,2),a=4sqrt(3),b=1