What is (x^2)/6+(y^2)/4 =1 ?

The solution to (x^2)/6+(y^2)/4 =1 is Ellipse with (h,k)=(0,0),a=sqrt(6),b=2

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(x^2)/6+(y^2)/4 =1

\frac{x ^{2}}{6} + \frac{y ^{2}}{4} = 1

(h, k) = (0, 0), a = 6, b = 2

Solution steps

\frac{x ^{2}}{6} + \frac{y ^{2}}{4} = 1

Rewrite

\frac{x ^{2}}{6} + \frac{y ^{2}}{4} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 6, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 6, b = 2

9 x^{2} - 18 x + 4 y^{2} + 8 y = 23

x^{2} + 4 y^{2} - 80 y + 396 = 0

25 x^{2} + 144 y^{2} = 900

\frac{( x + 5 ) ^{2}}{16} + \frac{( y - 2 ) ^{2}}{4} = 1

4 x^{2} + 16 y^{2} - 8 x + 32 y - 44 = 0

What is (x^2)/6+(y^2)/4 =1 ?
The solution to (x^2)/6+(y^2)/4 =1 is Ellipse with (h,k)=(0,0),a=sqrt(6),b=2