What is (x^2)/9+(y^2)/8 =1 ?

The solution to (x^2)/9+(y^2)/8 =1 is Ellipse with (h,k)=(0,0),a=3,b=2sqrt(2)

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(x^2)/9+(y^2)/8 =1

\frac{x ^{2}}{9} + \frac{y ^{2}}{8} = 1

(h, k) = (0, 0), a = 3, b = 22

Solution steps

\frac{x ^{2}}{9} + \frac{y ^{2}}{8} = 1

Rewrite

\frac{x ^{2}}{9} + \frac{y ^{2}}{8} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 22

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 22

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

x^{2} + y^{2} - 12 y = 0

\frac{x ^{2}}{5} + \frac{y ^{2}}{3} = 1

16 x^{2} + 25 y^{2} - 64 x + 150 y - 11 = 0

\frac{( x + 3 ) ^{2}}{49} + \frac{y ^{2}}{36} = 1

What is (x^2)/9+(y^2)/8 =1 ?
The solution to (x^2)/9+(y^2)/8 =1 is Ellipse with (h,k)=(0,0),a=3,b=2sqrt(2)