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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y (y + 2) = x^{2}

x^{2} + 1 x + y^{2} - 2 y^{2} = 25

10 y^{2} - 25 x^{2} = 400

(a + b) (a - b) = 3168

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

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