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Popular >

y^2-2x^2=4

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

-4x^2+7y^2+8x+42y+31=0

- 4 x^{2} + 7 y^{2} + 8 x + 42 y + 31 = 0

4x^2-4y^2-4x+8y-19=0

4 x^{2} - 4 y^{2} - 4 x + 8 y - 19 = 0

25x^2-16y^2=400

25 x^{2} - 16 y^{2} = 400

9 x^{2} - 36 y^{2} = 324

((x-h)^2)/(a^2)-((y-k)^2)/(b^2)=1

\frac{( x - h ) ^{2}}{a ^{2}} - \frac{( y - k ) ^{2}}{b ^{2}} = 1

Frequently Asked Questions (FAQ)

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