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Popular >

x^2-y^2=5y

Solution

x^{2} - y^{2} = 5 y

Solution

(h, k) = (0, - \frac{5}{2}), a = \frac{5}{2}, b = \frac{5}{2}

Solution steps

x^{2} - y^{2} = 5 y

Rewrite

x^{2} - y^{2} = 5 y

in the form of a standard hyperbola equation

\frac{( y - ( - \frac{5}{2} ) ) ^{2}}{( \frac{5}{2} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, - \frac{5}{2}), a = \frac{5}{2}, b = \frac{5}{2}

Popular Examples

x^{2} - y^{2} = 56

3x^2-2y^2+2x-3y+5=0

3 x^{2} - 2 y^{2} + 2 x - 3 y + 5 = 0

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

4x^2-9y^2-16x-36y-56=0

4 x^{2} - 9 y^{2} - 16 x - 36 y - 56 = 0

(x-5)^2-3(y+2)^2=4

(x - 5)^{2} - 3 (y + 2)^{2} = 4

Frequently Asked Questions (FAQ)

What is x^2-y^2=5y ?
The solution to x^2-y^2=5y is Hyperbola with (h,k)=(0,-5/2),a= 5/2 ,b= 5/2