What is (x^2)/(21)+(y^2)/(25)=1 ?

The solution to (x^2)/(21)+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=sqrt(21),b=5

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(x^2)/(21)+(y^2)/(25)=1

\frac{x ^{2}}{21} + \frac{y ^{2}}{25} = 1

(h, k) = (0, 0), a = 21, b = 5

Solution steps

\frac{x ^{2}}{21} + \frac{y ^{2}}{25} = 1

Rewrite

\frac{x ^{2}}{21} + \frac{y ^{2}}{25} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 21 ) ^{2}} + \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 21, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 5, a = 21

4 x^{2} + 16 y^{2} + 16 x + 160 y + 352 = 0

y^{2} = \frac{1 - 4 x ^{2}}{5}

\frac{( x + 9 ) ^{2}}{81} + \frac{( y - 1 ) ^{2}}{9} = 1

9 x^{2} + 25 y^{2} - 36 x + 50 y - 200 = 0

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

What is (x^2)/(21)+(y^2)/(25)=1 ?
The solution to (x^2)/(21)+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=sqrt(21),b=5