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Popular >

x^2-y^2=ey

Solution

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

Solution

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

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

f(x)(x)^{-1}f(x)=5x-3

f (x) (x)^{- 1} f (x) = 5 x - 3

x^2+3x-2y^2+4y=2

x^{2} + 3 x - 2 y^{2} + 4 y = 2

4x^2+16x-25y^2+50y-109=0

4 x^{2} + 16 x - 25 y^{2} + 50 y - 109 = 0

(y^2)/(36)-(x^2)/(14)=1

\frac{y ^{2}}{36} - \frac{x ^{2}}{14} = 1

Frequently Asked Questions (FAQ)

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