What is 250=2x^2+(y^2)/2 ?

The solution to 250=2x^2+(y^2)/2 is Ellipse with (h,k)=(0,0),a=5sqrt(5),b=10sqrt(5)

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250=2x^2+(y^2)/2

250 = 2 x^{2} + \frac{y ^{2}}{2}

(h, k) = (0, 0), a = 55, b = 105

Solution steps

250 = 2 x^{2} + \frac{y ^{2}}{2}

Rewrite

250 = 2 x^{2} + \frac{y ^{2}}{2}

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 5 5 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 10 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 55, b = 105

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 105, a = 55

What is 250=2x^2+(y^2)/2 ?
The solution to 250=2x^2+(y^2)/2 is Ellipse with (h,k)=(0,0),a=5sqrt(5),b=10sqrt(5)