What is (x^2)/(20)+(y^2)/(25)=1 ?

The solution to (x^2)/(20)+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=2sqrt(5),b=5

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(x^2)/(20)+(y^2)/(25)=1

\frac{x ^{2}}{20} + \frac{y ^{2}}{25} = 1

(h, k) = (0, 0), a = 25, b = 5

Solution steps

\frac{x ^{2}}{20} + \frac{y ^{2}}{25} = 1

Rewrite

\frac{x ^{2}}{20} + \frac{y ^{2}}{25} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 25, 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 = 25

16 x^{2} + 25 y^{2} - 32 x - 100 y - 284 = 0

9 x^{2} - 54 x + 4 y^{2} - 8 y - 59 = 0

\frac{( x + 5 ) ^{2}}{20} + \frac{( y - 6 ) ^{2}}{11} = 1

x^{2} - 4 x + 4 y^{2} - 8 y - 4 = 0

x^{2} + y^{2} + y^{2} = \frac{9}{4}

What is (x^2)/(20)+(y^2)/(25)=1 ?
The solution to (x^2)/(20)+(y^2)/(25)=1 is Ellipse with (h,k)=(0,0),a=2sqrt(5),b=5