What is 4-x^2-4y^2=1 ?

The solution to 4-x^2-4y^2=1 is Ellipse with (h,k)=(0,0),a=sqrt(3),b=(sqrt(3))/2

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4-x^2-4y^2=1

4 - x^{2} - 4 y^{2} = 1

(h, k) = (0, 0), a = 3, b = \frac{3}{2}

Solution steps

4 - x^{2} - 4 y^{2} = 1

Rewrite

4 - x^{2} - 4 y^{2} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = \frac{3}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = \frac{3}{2}

x (100 - 3 x) + y (192 - 6 y) = 0

X^{2} + \frac{Y ^{2}}{49} = 1

3 x^{2} + 4 y^{2} + 24 x - 16 y + 52 = 0

10 s - 0.1 s^{2} = \frac{1}{2} (v^{2} - 5^{2})

5 x^{2} + 6 y^{2} + 70 x + 84 y + 509 = 0

What is 4-x^2-4y^2=1 ?
The solution to 4-x^2-4y^2=1 is Ellipse with (h,k)=(0,0),a=sqrt(3),b=(sqrt(3))/2