What is 4x^2-45y^2=180 ?

The solution to 4x^2-45y^2=180 is Hyperbola with (h,k)=(0,0),a=3sqrt(5),b=2

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4x^2-45y^2=180

4 x^{2} - 45 y^{2} = 180

(h, k) = (0, 0), a = 35, b = 2

Solution steps

4 x^{2} - 45 y^{2} = 180

Rewrite

4 x^{2} - 45 y^{2} = 180

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 3 5 ) ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 35, b = 2

- \frac{x ^{2}}{5} + \frac{y ^{2}}{7} = 1

x^{2} - y^{2} + 2 x + 4 y - 12 = 0

\frac{x ^{2}}{36} - \frac{y ^{2}}{13} = 1

\frac{x ^{2}}{36} - \frac{y ^{2}}{25} = 1

y^{2} - 4 y - 4 x^{2} + 13 = 0

What is 4x^2-45y^2=180 ?
The solution to 4x^2-45y^2=180 is Hyperbola with (h,k)=(0,0),a=3sqrt(5),b=2