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Popular >

4y^2-x^2=1

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

16y^2-4x^2+16x-80=20

16 y^{2} - 4 x^{2} + 16 x - 80 = 20

x^2-y^2+6x-4y+4=0

x^{2} - y^{2} + 6 x - 4 y + 4 = 0

4x^2-y^2+16x+6y=9

4 x^{2} - y^{2} + 16 x + 6 y = 9

(x^2)/(289)-((y-70)^2)/(1600)=1

\frac{x ^{2}}{289} - \frac{( y - 70 ) ^{2}}{1600} = 1

16x^2-9y^2-64x-54y-161=0

16 x^{2} - 9 y^{2} - 64 x - 54 y - 161 = 0

Frequently Asked Questions (FAQ)

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