((x+8)^2)/(64)+((y-11)^2)/(36)=1

Lösung

\frac{( x + 8 ) ^{2}}{64} + \frac{( y - 11 ) ^{2}}{36} = 1

(h, k) = (- 8, 11), a = 8, b = 6

Schritte zur Lösung

\frac{( x + 8 ) ^{2}}{64} + \frac{( y - 11 ) ^{2}}{36} = 1

Rewrite

\frac{( x + 8 ) ^{2}}{64} + \frac{( y - 11 ) ^{2}}{36} = 1

in the form of the standard ellipse equation

\frac{( x - ( - 8 ) ) ^{2}}{8 ^{2}} + \frac{( y - 11 ) ^{2}}{6 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 8, 11), a = 8, b = 6

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 8, 11), a = 8, b = 6

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

\frac{x ^{2}}{2 5} + \frac{36 - 12 y + y ^{2}}{6} = 1

49 x^{2} + 100 y^{2} + 882 x - 1400 y + 3969 = 0

x^{2} + 4 y^{2} = 4 x

x^{2} + 4 y^{2} = 64