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Popular >

x^2-y^2=y

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

4 x^{2} - 6 y^{2} = 24

9 x^{2} - 2 y^{2} = 18

7^2+b^2=(c+1)^2

7^{2} + b^{2} = (c + 1)^{2}

-16x^2+9y^2-144=0

- 16 x^{2} + 9 y^{2} - 144 = 0

4y^2-2x^2+24y-8x-9=0

4 y^{2} - 2 x^{2} + 24 y - 8 x - 9 = 0

Frequently Asked Questions (FAQ)

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