What is the axis 2x^2+y^2=50 ?

The axis 2x^2+y^2=50 is semi-major axis b=5sqrt(2), semi-minor axis a=5

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axis 2x^2+y^2=50

axis

2 x^{2} + y^{2} = 50

semi - major axis b = 52, semi - minor axis a = 5

Solution steps

2 x^{2} + y^{2} = 50

Rewrite

2 x^{2} + y^{2} = 50

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{( 5 2 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 52

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 52, a = 5

4 x^{2} + 2 y^{2} + 2 x - 8 y + 7 = 0

\frac{( x + 4 ) ^{2}}{9} + \frac{( y - 6 ) ^{2}}{25} = 1

6.25 x^{2} + 16 y^{2} - 12.5 x + 64 y - 29.75 = 0

4 x^{2} + 49 y^{2} = 196

\frac{( x - 1 ) ^{2}}{25} + \frac{( y + 3 ) ^{2}}{16} = 1

What is the axis 2x^2+y^2=50 ?
The axis 2x^2+y^2=50 is semi-major axis b=5sqrt(2), semi-minor axis a=5