What is 20x^2+36y^2=405 ?

The solution to 20x^2+36y^2=405 is Ellipse with (h,k)=(0,0),a= 9/2 ,b=(3sqrt(5))/2

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20x^2+36y^2=405

20 x^{2} + 36 y^{2} = 405

(h, k) = (0, 0), a = \frac{9}{2}, b = \frac{3 5}{2}

Solution steps

20 x^{2} + 36 y^{2} = 405

Rewrite

20 x^{2} + 36 y^{2} = 405

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( \frac{9}{2} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{3 5}{2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = \frac{9}{2}, b = \frac{3 5}{2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = \frac{9}{2}, b = \frac{3 5}{2}

What is 20x^2+36y^2=405 ?
The solution to 20x^2+36y^2=405 is Ellipse with (h,k)=(0,0),a= 9/2 ,b=(3sqrt(5))/2