What is 2x^2+y^2=57 ?

The solution to 2x^2+y^2=57 is Ellipse with (h,k)=(0,0),a=sqrt(57/2),b=sqrt(57)

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2x^2+y^2=57

2 x^{2} + y^{2} = 57

(h, k) = (0, 0), a = \frac{57}{2}, b = 57

Solution steps

2 x^{2} + y^{2} = 57

Rewrite

2 x^{2} + y^{2} = 57

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{57}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 57 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{57}{2}, b = 57

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 57, a = \frac{57}{2}

What is 2x^2+y^2=57 ?
The solution to 2x^2+y^2=57 is Ellipse with (h,k)=(0,0),a=sqrt(57/2),b=sqrt(57)