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

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)