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Beliebt Geometry >

16x^2+192x+576+25y^2=1600

Lösung

16 x^{2} + 192 x + 576 + 25 y^{2} = 1600

Lösung

(h, k) = (- 6, 0), a = 10, b = 8

Schritte zur Lösung

16 x^{2} + 192 x + 576 + 25 y^{2} = 1600

Rewrite

16 x^{2} + 192 x + 576 + 25 y^{2} = 1600

in the form of the standard ellipse equation

\frac{( x - ( - 6 ) ) ^{2}}{1 0 ^{2}} + \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 6, 0), a = 10, b = 8

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 6, 0), a = 10, b = 8

Graph

Beliebte Beispiele

x^2+y^2-10x-10y+25=0

x^{2} + y^{2} - 10 x - 10 y + 25 = 0

x^{2} - y^{2} = 1

center x^2+y^2-32x-60y+1122=0

ce n t er x^{2} + y^{2} - 32 x - 60 y + 1122 = 0

d i rec t r i x x^{2}

foki (x^2}{36}+\frac{y^2)/9 =1

f oc i \frac{x ^{2}}{36} + \frac{y ^{2}}{9} = 1