What is 2x^2+49y^2=98 ?

The solution to 2x^2+49y^2=98 is Ellipse with (h,k)=(0,0),a=7,b=sqrt(2)

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2x^2+49y^2=98

2 x^{2} + 49 y^{2} = 98

(h, k) = (0, 0), a = 7, b = 2

Solution steps

2 x^{2} + 49 y^{2} = 98

Rewrite

2 x^{2} + 49 y^{2} = 98

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 7, b = 2

4 x^{2} + 9 y^{2} - 40 x + 54 y + 1 + 5 = 0

9 x^{2} + 4 y^{2} - 18 x + 16 y - 119 = 0

25 x^{2} + 9 y^{2} - 100 x + 18 x - 116 = 0

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

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

What is 2x^2+49y^2=98 ?
The solution to 2x^2+49y^2=98 is Ellipse with (h,k)=(0,0),a=7,b=sqrt(2)