What is (x^2)/(81)+(y^2)/(225)=1 ?

The solution to (x^2)/(81)+(y^2)/(225)=1 is Ellipse with (h,k)=(0,0),a=9,b=15

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(x^2)/(81)+(y^2)/(225)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{225} = 1

(h, k) = (0, 0), a = 9, b = 15

Solution steps

\frac{x ^{2}}{81} + \frac{y ^{2}}{225} = 1

Rewrite

\frac{x ^{2}}{81} + \frac{y ^{2}}{225} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{1 5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, 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 = 9

\frac{( x + 2 ) ^{2}}{16} + \frac{( y - 4 ) ^{2}}{25} = 1

\frac{( x - 3 ) ^{2}}{169} + \frac{( y + 4 ) ^{2}}{144} = 1

9 x^{2} + 7 y^{2} = 42

\frac{( x - 2.1 ) ^{2}}{2.25} + \frac{( y + 1.6 ) ^{2}}{6.16} = 1

x^{2} - 2 x + 3 y^{2} - 2 y - 5 = 0

What is (x^2)/(81)+(y^2)/(225)=1 ?
The solution to (x^2)/(81)+(y^2)/(225)=1 is Ellipse with (h,k)=(0,0),a=9,b=15