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Beliebt Geometry >

16x^2+9y^2-128x-90y+337=0

Lösung

16 x^{2} + 9 y^{2} - 128 x - 90 y + 337 = 0

Lösung

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

Schritte zur Lösung

16 x^{2} + 9 y^{2} - 128 x - 90 y + 337 = 0

Rewrite

16 x^{2} + 9 y^{2} - 128 x - 90 y + 337 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

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

Graph

Beliebte Beispiele

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

25x^2+4y^2+50x-16y-59=0

25 x^{2} + 4 y^{2} + 50 x - 16 y - 59 = 0

2 x^{2} + 9 y^{2} = 1

16-4x^{(2)}-y^{(2)}>= 0

16 - 4 x^{(2)} - y^{(2)} \geq 0

(x^2)/9+(y^2)/4 <1

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} < 1