What is (x^2)/9+(y^2)/(81)=1 ?

The solution to (x^2)/9+(y^2)/(81)=1 is Ellipse with (h,k)=(0,0),a=3,b=9

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(x^2)/9+(y^2)/(81)=1

\frac{x ^{2}}{9} + \frac{y ^{2}}{81} = 1

(h, k) = (0, 0), a = 3, b = 9

Solution steps

\frac{x ^{2}}{9} + \frac{y ^{2}}{81} = 1

Rewrite

\frac{x ^{2}}{9} + \frac{y ^{2}}{81} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 9, a = 3

- 4 x^{2} - y^{2} + 14 x - 5 y - 45 = 0

\frac{( x + 1 ) ^{2}}{20} + \frac{( y - 1 ) ^{2}}{36} = 1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 5 ) ^{2}}{16} = 1

x^{2} + 8 y^{2} = 64

16 x^{2} + 4 y^{2} + 96 x - 16 y + 96 = 0

What is (x^2)/9+(y^2)/(81)=1 ?
The solution to (x^2)/9+(y^2)/(81)=1 is Ellipse with (h,k)=(0,0),a=3,b=9