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Beliebt Geometry >

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

Lösung

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

Lösung

(h, k) = (1, - 2), a = 5, b = 4

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, - 2), a = 5, b = 4

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - 2), a = 5, b = 4

Graph

Beliebte Beispiele

x^{2} + y^{2} + 10 y = 0

12x^2+96x+5y^2+50y+257=0

12 x^{2} + 96 x + 5 y^{2} + 50 y + 257 = 0

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

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

x^{2} + (y - c)^{2} = 1

4y^2+9x^2-24y-72x+144=0

4 y^{2} + 9 x^{2} - 24 y - 72 x + 144 = 0