What is 2x^2+6y^2=168 ?

The solution to 2x^2+6y^2=168 is Ellipse with (h,k)=(0,0),a=2sqrt(21),b=2sqrt(7)

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2x^2+6y^2=168

2 x^{2} + 6 y^{2} = 168

(h, k) = (0, 0), a = 221, b = 27

Solution steps

2 x^{2} + 6 y^{2} = 168

Rewrite

2 x^{2} + 6 y^{2} = 168

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 2 21 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 2 7 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 221, b = 27

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 221, b = 27

x^{2} + 25 y^{2} = 1

\frac{( x - 4 ) ^{2}}{25} + \frac{( y + 2 ) ^{2}}{64} = 1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{36} = 1

\frac{( x + 4 ) ^{2}}{0.25} + \frac{( y - 8 ) ^{2}}{1} = 1

3 x^{2} + z^{2} = 8 - x^{2} - z^{2}

What is 2x^2+6y^2=168 ?
The solution to 2x^2+6y^2=168 is Ellipse with (h,k)=(0,0),a=2sqrt(21),b=2sqrt(7)