What is (x^2)/9+(y^2)/5 =1 ?

The solution to (x^2)/9+(y^2)/5 =1 is Ellipse with (h,k)=(0,0),a=3,b=sqrt(5)

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(x^2)/9+(y^2)/5 =1

\frac{x ^{2}}{9} + \frac{y ^{2}}{5} = 1

(h, k) = (0, 0), a = 3, b = 5

Solution steps

\frac{x ^{2}}{9} + \frac{y ^{2}}{5} = 1

Rewrite

\frac{x ^{2}}{9} + \frac{y ^{2}}{5} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 3, b = 5

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

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

What is (x^2)/9+(y^2)/5 =1 ?
The solution to (x^2)/9+(y^2)/5 =1 is Ellipse with (h,k)=(0,0),a=3,b=sqrt(5)