What is (x^2)/(25)+(y^2)/(81)=1 ?

The solution to (x^2)/(25)+(y^2)/(81)=1 is Ellipse with (h,k)=(0,0),a=5,b=9

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(x^2)/(25)+(y^2)/(81)=1

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

(h, k) = (0, 0), a = 5, b = 9

Solution steps

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{9 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 9

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 9, a = 5

\frac{x}{\frac{x ^{2}}{64} + \frac{y ^{2}}{9}} = 1

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

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

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

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

What is (x^2)/(25)+(y^2)/(81)=1 ?
The solution to (x^2)/(25)+(y^2)/(81)=1 is Ellipse with (h,k)=(0,0),a=5,b=9