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Popular >

y^2-x^2=1

Solution

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

Solution

(h, k) = (0, 0), a = 1, b = 1

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1, b = 1

Popular Examples

x^2+4y^2-6x+20y-2=0

x^{2} + 4 y^{2} - 6 x + 20 y - 2 = 0

eccentricity (x^2)/(25)+(y^2)/(16)=1 eccentricity

\frac{x ^{2}}{25} + \frac{y ^{2}}{16} = 1

((x-5)^2)/(12)-((y+6)^2)/(17)=1

\frac{( x - 5 ) ^{2}}{12} - \frac{( y + 6 ) ^{2}}{17} = 1

- 36 y = x^{2}

foci 5x^2+7y^2=35 foci

5 x^{2} + 7 y^{2} = 35

Frequently Asked Questions (FAQ)

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