What is 4x^2-45y^2-180=0 ?

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

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4x^2-45y^2-180=0

4 x^{2} - 45 y^{2} - 180 = 0

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

Solution steps

4 x^{2} - 45 y^{2} - 180 = 0

Rewrite

4 x^{2} - 45 y^{2} - 180 = 0

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

36 x^{(2)} - 16 y^{(2)} - 288 x + 160 y - 400 = 0

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

(x - y) (x + y - 1) = 2018

\frac{x ^{2}}{\frac{324}{9}} - \frac{y ^{2}}{\frac{324}{36}} = 1

\frac{( x - 5 ) ^{2}}{4 ^{2}} - \frac{( y - 2 ) ^{2}}{2 ^{2}} = 1

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