What is -8=4-4x^2-y^2 ?

The solution to -8=4-4x^2-y^2 is Ellipse with (h,k)=(0,0),a=sqrt(3),b=2sqrt(3)

Popular >

-8=4-4x^2-y^2

- 8 = 4 - 4 x^{2} - y^{2}

(h, k) = (0, 0), a = 3, b = 23

Solution steps

- 8 = 4 - 4 x^{2} - y^{2}

Rewrite

- 8 - 4 + 4 x^{2} + y^{2} = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 23

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 23, a = 3

\frac{x ^{2}}{5 ^{2}} + \frac{y ^{2}}{1 3 ^{2}} = 1

4 x^{2} + 9 y^{2} + 16 x + 18 y - 11 = 0

\frac{( ( x + 2 ) ^{2} )}{16} + \frac{( ( y - 4 ) ^{2} )}{4} = 1

\frac{( x + 3 ) ^{2}}{25} + \frac{( y - 1 ) ^{2}}{4} = 1

\frac{( x + 1 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{9} = 1

What is -8=4-4x^2-y^2 ?
The solution to -8=4-4x^2-y^2 is Ellipse with (h,k)=(0,0),a=sqrt(3),b=2sqrt(3)