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Popular >

y^2-4x^2=1

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

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

2y^2-x^2+2x+8y+3=0

2 y^{2} - x^{2} + 2 x + 8 y + 3 = 0

25x^2-100x-9y^2+18y+316=0

25 x^{2} - 100 x - 9 y^{2} + 18 y + 316 = 0

(y^2)/1-(x^2)/(16)=1

\frac{y ^{2}}{1} - \frac{x ^{2}}{16} = 1

x^2-8x-y^2-10y-36=0

x^{2} - 8 x - y^{2} - 10 y - 36 = 0

Frequently Asked Questions (FAQ)

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