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Beliebt Geometry >

-16x^2-9y^2=144

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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

7 x^{2} + 3 y^{2} = 55

((x-sqrt(2))^2)/6+((y-6sqrt(2))^2)/8 =1

\frac{( x - 2 ) ^{2}}{6} + \frac{( y - 6 2 ) ^{2}}{8} = 1

x^2+64x+9y^2+162y+949=0

x^{2} + 64 x + 9 y^{2} + 162 y + 949 = 0

((x+3)^2)/(21)+((y-6)^2)/(25)=1

\frac{( x + 3 ) ^{2}}{21} + \frac{( y - 6 ) ^{2}}{25} = 1

9x^2+25y^2+18x+100y-116=0

9 x^{2} + 25 y^{2} + 18 x + 100 y - 116 = 0