What is (x^2)/(576)+(y^2)/(676)=1 ?

The solution to (x^2)/(576)+(y^2)/(676)=1 is Ellipse with (h,k)=(0,0),a=24,b=26

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(x^2)/(576)+(y^2)/(676)=1

\frac{x ^{2}}{576} + \frac{y ^{2}}{676} = 1

(h, k) = (0, 0), a = 24, b = 26

Solution steps

\frac{x ^{2}}{576} + \frac{y ^{2}}{676} = 1

Rewrite

\frac{x ^{2}}{576} + \frac{y ^{2}}{676} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{2 4 ^{2}} + \frac{( y - 0 ) ^{2}}{2 6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 24, b = 26

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 26, a = 24

9 x^{2} + y^{2} - 18 x - 6 y + 9 = 0

25 x^{2} + 10 y^{2} = 50

\frac{( x + 5 ) ^{2}}{100} + \frac{( y - 4 ) ^{2}}{64} = 1

2 x^{2} + 7 y^{2} = 14

\frac{( x - 2 ) ^{2}}{36} + \frac{( y + 1 ) ^{2}}{25} = 1

What is (x^2)/(576)+(y^2)/(676)=1 ?
The solution to (x^2)/(576)+(y^2)/(676)=1 is Ellipse with (h,k)=(0,0),a=24,b=26