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Beliebt Geometry >

25x^2+16y^2-100x-96y-156=0

Lösung

25 x^{2} + 16 y^{2} - 100 x - 96 y - 156 = 0

Lösung

(h, k) = (2, 3), a = 4, b = 5

Schritte zur Lösung

25 x^{2} + 16 y^{2} - 100 x - 96 y - 156 = 0

Rewrite

25 x^{2} + 16 y^{2} - 100 x - 96 y - 156 = 0

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{4 ^{2}} + \frac{( y - 3 ) ^{2}}{5 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 3), a = 4, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 3), b = 5, a = 4

Graph

Beliebte Beispiele

(x^2)/(25)+((y-3)^2)/(16)=1

\frac{x ^{2}}{25} + \frac{( y - 3 ) ^{2}}{16} = 1

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

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

16 - x^{2} - 4 y^{2} > 0

9x^2+4y^2-54x-8y-59=0

9 x^{2} + 4 y^{2} - 54 x - 8 y - 59 = 0

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