(x^2)/(23)+(y^2)/(19)=1

Lösung

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

(h, k) = (0, 0), a = 23, b = 19

Schritte zur Lösung

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

Rewrite

\frac{x ^{2}}{23} + \frac{y ^{2}}{19} = 1

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{( 23 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 19 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 23, b = 19

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 23, b = 19

4 x^{2} + 24 x + 36 + 36 y^{2} - 360 y + 756 = 0

9 x^{2} + 36 y^{2} - 54 x + 72 y - 207 = 0

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

4 x^{2} + y^{2} - 36 x + 120 y + 80 = 0

- 2 p^{2} + 2 q + p = 3 q^{2} + q - 3 p - 2