x^2+9y^2=9

Solution

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

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

Solution steps

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

Rewrite

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

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

f (x) = x^{2} + 4 x - 12

x^{2} - 10 x + y^{2} + 6 y - 1 = 0

x = - 8 y^{2}

(x - 5)^{2} + (y - 9)^{2} = 4

y^{2} = - 14 x

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