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Popular >

x^2-4y^2=1

Solution

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

Solution

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

Solution steps

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

Rewrite

x^{2} - 4 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^2-1/2 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

16x^2-25y^2+96x+544=0

16 x^{2} - 25 y^{2} + 96 x + 544 = 0

9x^2-4y^2-54x+8y+113=0

9 x^{2} - 4 y^{2} - 54 x + 8 y + 113 = 0

25x^2+10922x-25y^2-y^2=1439

25 x^{2} + 10922 x - 25 y^{2} - y^{2} = 1439

Frequently Asked Questions (FAQ)

What is x^2-4y^2=1 ?
The solution to x^2-4y^2=1 is Hyperbola with (h,k)=(0,0),a=1,b= 1/2