What is 4y^2-x^2=900 ?

The solution to 4y^2-x^2=900 is Hyperbola with (h,k)=(0,0),a=15,b=30

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4y^2-x^2=900

4 y^{2} - x^{2} = 900

(h, k) = (0, 0), a = 15, b = 30

Solution steps

4 y^{2} - x^{2} = 900

Rewrite

4 y^{2} - x^{2} = 900

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 15, b = 30

\frac{( x - 2.5 ) ^{2}}{2. 5 ^{2}} - \frac{( y - 5 ) ^{2}}{5 ^{2}} = 1

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

2 x^{2} - 2 y^{2} - 20 x + 16 y - 16 = 0

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

(x + 5)^{2} - (y - 7)^{2} = 1

What is 4y^2-x^2=900 ?
The solution to 4y^2-x^2=900 is Hyperbola with (h,k)=(0,0),a=15,b=30