What is (x^2)/(81)+(y^2)/(64)=1 ?

The solution to (x^2)/(81)+(y^2)/(64)=1 is Ellipse with (h,k)=(0,0),a=9,b=8

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(x^2)/(81)+(y^2)/(64)=1

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

(h, k) = (0, 0), a = 9, b = 8

Solution steps

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

Rewrite

\frac{x ^{2}}{81} + \frac{y ^{2}}{64} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 8

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 8

2 x^{2} + y^{2} = 4

x^{2} + 10 x + 9 y^{2} + 16 = 0

\frac{( x - 3 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1

\frac{x ^{2}}{7 ^{2}} + \frac{y ^{2}}{5 ^{2}} = 1

3 x^{2} + 7 y^{2} - 12 x - 28 y + 19 = 0

What is (x^2)/(81)+(y^2)/(64)=1 ?
The solution to (x^2)/(81)+(y^2)/(64)=1 is Ellipse with (h,k)=(0,0),a=9,b=8