What is 4x^2+81y^2=324 ?

The solution to 4x^2+81y^2=324 is Ellipse with (h,k)=(0,0),a=9,b=2

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4x^2+81y^2=324

4 x^{2} + 81 y^{2} = 324

(h, k) = (0, 0), a = 9, b = 2

Solution steps

4 x^{2} + 81 y^{2} = 324

Rewrite

4 x^{2} + 81 y^{2} = 324

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 2

3 x^{2} + y^{2} + 20 x + 32 = 0

y^{2} = 1 - 2 x^{2}

x^{2} + 2 z^{2} + 6 x - 8 z + 1 = 0

9 x^{2} + 5 y^{2} - 18 x - 20 y - 151 = 0

\frac{x ^{2}}{4} + \frac{( y - 5 ) ^{2}}{5} = 1

What is 4x^2+81y^2=324 ?
The solution to 4x^2+81y^2=324 is Ellipse with (h,k)=(0,0),a=9,b=2