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Beliebt Geometry >

16(x^2)+9(y^2)-144=0

Lösung

16 (x^{2}) + 9 (y^{2}) - 144 = 0

Lösung

(h, k) = (0, 0), a = 3, b = 4

Schritte zur Lösung

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

Rewrite

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

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} + \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 3, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 4, a = 3

Graph

Beliebte Beispiele

49x^2+16y^2+98x-64y-671=0

49 x^{2} + 16 y^{2} + 98 x - 64 y - 671 = 0

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

(4x^2)+(y^2)-8x-4y-28=0

(4 x^{2}) + (y^{2}) - 8 x - 4 y - 28 = 0

112x^2+144y^2-896x+864y=-2080

112 x^{2} + 144 y^{2} - 896 x + 864 y = - 2080

9 = 4 x^{2} + z^{2}