((x-2)^2)/(16)+((y-2)^2)/(25)=1

Lösung

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

(h, k) = (2, 2), a = 4, b = 5

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 2), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 2), b = 5, a = 4

16 x^{2} + y^{2} + 96 x - 10 y = - 153

x^{2} + y^{2} - 25 = \frac{x + 25}{7} - y

\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{25} = 1

\frac{x ^{2}}{1.58 7 ^{2}} + \frac{y ^{2}}{0.9 9 ^{2}} = 1

4 x^{2} + 9 y^{2} - 144 = 0