What is (x^2}{24}-\frac{y^2)/9 =1 ?

The solution to (x^2}{24}-\frac{y^2)/9 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(6),b=3

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(x^2}{24}-\frac{y^2)/9 =1

\frac{x ^{2}}{24} - \frac{y ^{2}}{9} = 1

(h, k) = (0, 0), a = 26, b = 3

Solution steps

\frac{x ^{2}}{24} - \frac{y ^{2}}{9} = 1

Rewrite

\frac{x ^{2}}{24} - \frac{y ^{2}}{9} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 6 ) ^{2}} - \frac{( y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 26, b = 3

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

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

x^{(2)} - y^{(2)} = 25

x^{(2)} - y^{(2)} = 20

x^{2} - 16 y^{2} = 144

What is (x^2}{24}-\frac{y^2)/9 =1 ?
The solution to (x^2}{24}-\frac{y^2)/9 =1 is Hyperbola with (h,k)=(0,0),a=2sqrt(6),b=3