What is 2x^2+y^2-98=0 ?

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

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2x^2+y^2-98=0

2 x^{2} + y^{2} - 98 = 0

(h, k) = (0, 0), a = 7, b = 72

Solution steps

2 x^{2} + y^{2} - 98 = 0

Rewrite

2 x^{2} + y^{2} - 98 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 7, b = 72

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 72, a = 7

100 x^{2} + 96 y^{2} - 8840 = 0

x^{(2)} + y^{(2)} = - 2 y

x^{2} + 4 y^{2} + 2 x - 12 y + 7 = 0

4 x^{2} - 8 x + 16 y^{2} - 96 y + 84 = 0

\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 1 ) ^{2}}{7} = 1

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