What is y^2=4x^2-15 ?

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

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y^2=4x^2-15

y^{2} = 4 x^{2} - 15

(h, k) = (0, 0), a = \frac{15}{2}, b = 15

Solution steps

y^{2} = 4 x^{2} - 15

Rewrite

y^{2} = 4 x^{2} - 15

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{15}{2} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 15 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{15}{2}, b = 15

- 25 x^{2} + 9 y^{2} + 200 x - 72 y - 481 = 0

\frac{( x + 5 ) ^{2}}{4} - \frac{( y - 2 ) ^{2}}{9} = 1

0.5 = \frac{2 x ^{2} - y ^{2}}{10}

5 x^{2} - 9 y^{2} + 10 x - 36 y - 14 = 0

x^{2} - y^{2} + 2 x + 5 = 0

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