What is 2x^2+y^2=225 ?

The solution to 2x^2+y^2=225 is Ellipse with (h,k)=(0,0),a=(15)/(sqrt(2)),b=15

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2x^2+y^2=225

2 x^{2} + y^{2} = 225

(h, k) = (0, 0), a = \frac{15}{2}, b = 15

Solution steps

2 x^{2} + y^{2} = 225

Rewrite

2 x^{2} + y^{2} = 225

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{15}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{1 5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{15}{2}, b = 15

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 15, a = \frac{15}{2}

\frac{( x - 2 ) ^{2}}{16} + \frac{( y - 4 ) ^{2}}{7} = 1

\frac{( x + 3 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{16} = 1

4 x^{2} + 9 y^{2} = 40

2 x^{2} + 2 y^{2} + 4 y = 0

7 x^{2} + 16 y^{2} - 28 x - 128 y + 172 = 0

What is 2x^2+y^2=225 ?
The solution to 2x^2+y^2=225 is Ellipse with (h,k)=(0,0),a=(15)/(sqrt(2)),b=15