What is (36(x-7)^2-64(y-6)^2)/(2304)=1 ?

The solution to (36(x-7)^2-64(y-6)^2)/(2304)=1 is Hyperbola with (h,k)=(7,6),a=8,b=6

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(36(x-7)^2-64(y-6)^2)/(2304)=1

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

(h, k) = (7, 6), a = 8, b = 6

Solution steps

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

Rewrite

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

in the form of a standard hyperbola equation

\frac{( x - 7 ) ^{2}}{8 ^{2}} - \frac{( y - 6 ) ^{2}}{6 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (7, 6), a = 8, b = 6

(y - 4)^{2} = \frac{4 ( x + 1 ) ^{2} + 84}{3}

3 (x + \frac{1}{3})^{2} - 3 (y - \frac{7}{3})^{2} = - 40

3 x^{2} - y^{2} = 25

\frac{( y - 3 ) ^{2}}{169} - \frac{( x + 2 ) ^{2}}{81} = 1

4 y^{2} - 9 x^{2} = 1

What is (36(x-7)^2-64(y-6)^2)/(2304)=1 ?
The solution to (36(x-7)^2-64(y-6)^2)/(2304)=1 is Hyperbola with (h,k)=(7,6),a=8,b=6