What is 18x^2+9y^2=9 ?

The solution to 18x^2+9y^2=9 is Ellipse with (h,k)=(0,0),a=sqrt(1/2),b=1

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18x^2+9y^2=9

18 x^{2} + 9 y^{2} = 9

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

Solution steps

18 x^{2} + 9 y^{2} = 9

Rewrite

18 x^{2} + 9 y^{2} = 9

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{1}{2}, b = 1

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 1, a = \frac{1}{2}

What is 18x^2+9y^2=9 ?
The solution to 18x^2+9y^2=9 is Ellipse with (h,k)=(0,0),a=sqrt(1/2),b=1