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

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

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-16x^2-9y^2=144

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

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

Solution steps

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

Rewrite

- 16 x^{2} - 9 y^{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

7 x^{2} + 3 y^{2} = 55

\frac{( x - 2 ) ^{2}}{6} + \frac{( y - 6 2 ) ^{2}}{8} = 1

\frac{x ^{2}}{81} + \frac{y ^{2}}{121} = 1

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

3 x^{2} + 2 y^{2} - 6 x + 8 y + 5 = 0

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