What is (x^2)/(144)+(y^2)/(81)=1 ?

The solution to (x^2)/(144)+(y^2)/(81)=1 is Ellipse with (h,k)=(0,0),a=12,b=9

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(x^2)/(144)+(y^2)/(81)=1

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

(h, k) = (0, 0), a = 12, b = 9

Solution steps

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

Rewrite

\frac{x ^{2}}{144} + \frac{y ^{2}}{81} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 12, b = 9

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 12, b = 9

16 x^{2} - 96 x + 5 y^{2} + 10 y + 69 = 0

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

x^{2} + y^{2} \geq - 4 y

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

\frac{x ^{2}}{2 ^{2}} + \frac{y ^{2}}{3 ^{2}} = 1

What is (x^2)/(144)+(y^2)/(81)=1 ?
The solution to (x^2)/(144)+(y^2)/(81)=1 is Ellipse with (h,k)=(0,0),a=12,b=9