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Popular >

x=x^2-y^2

Solution

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

Solution

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

Solution steps

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

Rewrite

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

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

(x^2)/(100)-(y^2)/(36)=1

\frac{x ^{2}}{100} - \frac{y ^{2}}{36} = 1

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

(x-2)^2-((y-1)^2)/4 =-1

(x - 2)^{2} - \frac{( y - 1 ) ^{2}}{4} = - 1

(x^2)/(2+y^2)=1

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

25x^2+100x-4y^2-16y-16=0

25 x^{2} + 100 x - 4 y^{2} - 16 y - 16 = 0

Frequently Asked Questions (FAQ)

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