What is ((x^2)/(72))+((y^2)/(21))=1 ?

The solution to ((x^2)/(72))+((y^2)/(21))=1 is Ellipse with (h,k)=(0,0),a=6sqrt(2),b=sqrt(21)

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((x^2)/(72))+((y^2)/(21))=1

(\frac{x ^{2}}{72}) + (\frac{y ^{2}}{21}) = 1

(h, k) = (0, 0), a = 62, b = 21

Solution steps

\frac{x ^{2}}{72} + \frac{y ^{2}}{21} = 1

Rewrite

\frac{x ^{2}}{72} + \frac{y ^{2}}{21} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 6 2 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 21 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 62, b = 21

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 62, b = 21

(3 - y^{2} - 3 x^{2}) = 0

\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 7 ) ^{2}}{36} = 1

\frac{( ( x - 2 ) ^{2} )}{( 9 )} + \frac{( ( y + 5 ) ^{2} )}{( 25 )} = 1

16 x^{2} + 25 y^{2} = 1400

5 x^{2} + 9 y^{2} - 80 x + 54 y + 221 = 0

What is ((x^2)/(72))+((y^2)/(21))=1 ?
The solution to ((x^2)/(72))+((y^2)/(21))=1 is Ellipse with (h,k)=(0,0),a=6sqrt(2),b=sqrt(21)