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Popular >

x^2-y^2=x

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

3 x^{2} - 6 y^{2} - 36 = 0

(x-5)^2-(y+1)^2=2

(x - 5)^{2} - (y + 1)^{2} = 2

9y^2-25x^2-100x-108y-1=0

9 y^{2} - 25 x^{2} - 100 x - 108 y - 1 = 0

(x^2)/6-(y^2)/(25)=1

\frac{x ^{2}}{6} - \frac{y ^{2}}{25} = 1

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

Frequently Asked Questions (FAQ)

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