What is ((y^2)/4)-x^2=1 ?

The solution to ((y^2)/4)-x^2=1 is Hyperbola with (h,k)=(0,0),a=2,b=1

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((y^2)/4)-x^2=1

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

(h, k) = (0, 0), a = 2, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

3 y^{2} - 3 x^{2} + 5 x + 10 y = 5 x^{2} + 1

x^{2} + 8 x - y^{2} - 9 y = 6

What is ((y^2)/4)-x^2=1 ?
The solution to ((y^2)/4)-x^2=1 is Hyperbola with (h,k)=(0,0),a=2,b=1