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Popular >

x^2-2y^2=1

Solution

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

Solution

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1, b = \frac{1}{2}

Popular Examples

4x^2+24x-2y^2+36y=36

4 x^{2} + 24 x - 2 y^{2} + 36 y = 36

x^{2} - y^{2} - 1 = 0

x^{2} - 4 y^{2} = 1

4x^2-1/2 y^2+8x+2y=2

4 x^{2} - \frac{1}{2} y^{2} + 8 x + 2 y = 2

(x-4)^2-9(y+7)^2=1

(x - 4)^{2} - 9 (y + 7)^{2} = 1

Frequently Asked Questions (FAQ)

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