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

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

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

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

(h, k) = (0, 0), a = 3, b = 1

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 1

h (x) = 6 x^{2} - 5 x + 7 h (x) (2 + h (x))

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

3 x^{2} - 6 x + y^{2} + 4 y - 11 = 0

7 x^{2} + 16 y^{2} + 28 x - 128 y + 172 = 0

\frac{( x + 2 ) ^{2}}{16} + \frac{y ^{2}}{49} = 1

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