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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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}

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