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Popular >

-X^2-4=Y^2

Solution

- X^{2} - 4 = Y^{2}

Solution

(h, k) = (0, 0), a = 2, b = 2

Solution steps

- X^{2} - 4 = Y^{2}

Rewrite

- X^{2} - 4 = Y^{2}

in the form of the standard ellipse equation

\frac{( X - 0 ) ^{2}}{2 ^{2}} + \frac{( Y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 2

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 2, a = 2

Popular Examples

8y^2=-9/2 x^2+25/2

8 y^{2} = - \frac{9}{2} x^{2} + \frac{25}{2}

x^{2} + 3 y^{2} = 28

12x^2+3y^2+12y-96=0

12 x^{2} + 3 y^{2} + 12 y - 96 = 0

((x-3)^2)/2+(y+5)^2=8

\frac{( x - 3 ) ^{2}}{2} + (y + 5)^{2} = 8

((x-2)/9)^2+((y+2)/(25))^2=1

(\frac{x - 2}{9})^{2} + (\frac{y + 2}{25})^{2} = 1

Frequently Asked Questions (FAQ)

What is -X^2-4=Y^2 ?
The solution to -X^2-4=Y^2 is Ellipse with (h,k)=(0,0),a=2,b=2