What is ((x+8)^2)/(20)+((y+36)^2)/(36)=1 ?

The solution to ((x+8)^2)/(20)+((y+36)^2)/(36)=1 is Ellipse with (h,k)=(-8,-36),a=2sqrt(5),b=6

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((x+8)^2)/(20)+((y+36)^2)/(36)=1

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1

(h, k) = (- 8, - 36), a = 25, b = 6

Solution steps

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1

Rewrite

\frac{( x + 8 ) ^{2}}{20} + \frac{( y + 36 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 8 ) ) ^{2}}{( 2 5 ) ^{2}} + \frac{( y - ( - 36 ) ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 8, - 36), a = 25, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 8, - 36), b = 6, a = 25

4 x^{2} + y^{2} - 16 x - 2 y + 1 = 0

5 x^{2} + z^{2} = 100

\frac{( x + 2 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{36} = 1

\frac{25 x ^{2}}{400 - 1 2 ^{2}} + \frac{16 y ^{2}}{400 - 1 2 ^{2}} = 1

\frac{x ^{2}}{81} + \frac{y ^{2}}{225} = 1

What is ((x+8)^2)/(20)+((y+36)^2)/(36)=1 ?
The solution to ((x+8)^2)/(20)+((y+36)^2)/(36)=1 is Ellipse with (h,k)=(-8,-36),a=2sqrt(5),b=6