What is -25x^2-4y^2=-100 ?

The solution to -25x^2-4y^2=-100 is Ellipse with (h,k)=(0,0),a=2,b=5

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-25x^2-4y^2=-100

- 25 x^{2} - 4 y^{2} = - 100

(h, k) = (0, 0), a = 2, b = 5

Solution steps

- 25 x^{2} - 4 y^{2} = - 100

Rewrite

- 25 x^{2} - 4 y^{2} = - 100

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 2, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 2

\frac{( x + 4 ) ^{2}}{49} + \frac{( y - 4 ) ^{2}}{25} = 1

y^{2} + \frac{x ^{2}}{4} = 1

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

\frac{( x + 3 ) ^{2}}{9} + \frac{( y - 1 ) ^{2}}{25} - 1 = 0

\frac{( x - 4 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{9} = 1

What is -25x^2-4y^2=-100 ?
The solution to -25x^2-4y^2=-100 is Ellipse with (h,k)=(0,0),a=2,b=5