What is (x^2}{33}-\frac{y^2)/3 =1 ?

The solution to (x^2}{33}-\frac{y^2)/3 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(33),b=sqrt(3)

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(x^2}{33}-\frac{y^2)/3 =1

\frac{x ^{2}}{33} - \frac{y ^{2}}{3} = 1

(h, k) = (0, 0), a = 33, b = 3

Solution steps

\frac{x ^{2}}{33} - \frac{y ^{2}}{3} = 1

Rewrite

\frac{x ^{2}}{33} - \frac{y ^{2}}{3} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 33 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 33, b = 3

x^{2} - 4 x - y^{2} - 6 y - 2 = 0

\frac{( y + 3 ) ^{2}}{64} - \frac{( x + 1 ) ^{2}}{36} = 1

- 4 x^{2} + 9 y^{2} + 24 x - 36 y - 32 = 0

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

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

What is (x^2}{33}-\frac{y^2)/3 =1 ?
The solution to (x^2}{33}-\frac{y^2)/3 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(33),b=sqrt(3)