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Popular >

2x^2-y^2=4

Solution

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

Solution

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

Solution steps

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

Rewrite

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

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

Popular Examples

4x^2+y^2-8x+4y-8=0

4 x^{2} + y^{2} - 8 x + 4 y - 8 = 0

(x-1)^2+(y-6)^2=25

(x - 1)^{2} + (y - 6)^{2} = 25

foci (x^2)/(64)+(y^2)/(36)=1 foci

\frac{x ^{2}}{64} + \frac{y ^{2}}{36} = 1

vertices x^2+4y^2=16 vertices

x^{2} + 4 y^{2} = 16

(x-6)^2+(y+5)^2=16

(x - 6)^{2} + (y + 5)^{2} = 16

Frequently Asked Questions (FAQ)

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