What is 9y^2+16x^2=144 ?

The solution to 9y^2+16x^2=144 is Ellipse with (h,k)=(0,0),a=3,b=4

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9y^2+16x^2=144

9 y^{2} + 16 x^{2} = 144

(h, k) = (0, 0), a = 3, b = 4

Solution steps

9 y^{2} + 16 x^{2} = 144

Rewrite

9 y^{2} + 16 x^{2} = 144

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 3

\frac{( x - 2 ) ^{2}}{26} + \frac{( y - 3 ) ^{2}}{81} = 1

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

4 x^{2} + y^{2} - 6 y = 27

8 x^{2} + 16 x + 2 y^{2} = 0

4 x^{2} + 36 y^{2} + 24 x + 432 y = - 1188

What is 9y^2+16x^2=144 ?
The solution to 9y^2+16x^2=144 is Ellipse with (h,k)=(0,0),a=3,b=4