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

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

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9x^2+16y^2=144

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

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

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

x^{2} + y^{2} = 10

x^{2} + \frac{y ^{2}}{25} = 1

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

\frac{x ^{2}}{16} - \frac{y ^{2}}{9} = 1

9 y^{2} - 4 x^{2} = 36

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