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

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

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

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

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

Solution steps

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

Rewrite

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

y^{2} = \frac{4 - x ^{2}}{5}

\frac{( x + 4 ) ^{2}}{64} + \frac{( y + 2 ) ^{2}}{100} = 1

490 x^{(2)} + 10 y^{(2)} + 808 x - 556 y + 40 = 0

16 X^{2} + 25 Y^{2} - 64 X - 50 Y - 311 = 0

7 x^{2} + 9 y^{2} = 1

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