What is (x^2)/(81)+(y^2)/(77)=1 ?

The solution to (x^2)/(81)+(y^2)/(77)=1 is Ellipse with (h,k)=(0,0),a=9,b=sqrt(77)

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(x^2)/(81)+(y^2)/(77)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{77} = 1

(h, k) = (0, 0), a = 9, b = 77

Solution steps

\frac{x ^{2}}{81} + \frac{y ^{2}}{77} = 1

Rewrite

\frac{x ^{2}}{81} + \frac{y ^{2}}{77} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{( 77 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 77

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 77

9 x^{2} + 18 x + 25 y^{2} + 150 y + 9 = 0

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

\frac{( x - 1 ) ^{2}}{16} + \frac{( y - 5 ) ^{2}}{4} = 1

9 x^{2} + 5 y^{2} + 89 x - 60 y = 120

\frac{x ^{2}}{25} + \frac{y ^{2}}{81} = 1

What is (x^2)/(81)+(y^2)/(77)=1 ?
The solution to (x^2)/(81)+(y^2)/(77)=1 is Ellipse with (h,k)=(0,0),a=9,b=sqrt(77)