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Beliebt Geometry >

12x^2+20y^2-12x+40y-37=0

Lösung

12 x^{2} + 20 y^{2} - 12 x + 40 y - 37 = 0

Lösung

(h, k) = (\frac{1}{2}, - 1), a = 5, b = 3

Schritte zur Lösung

12 x^{2} + 20 y^{2} - 12 x + 40 y - 37 = 0

Rewrite

12 x^{2} + 20 y^{2} - 12 x + 40 y - 37 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (\frac{1}{2}, - 1), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (\frac{1}{2}, - 1), a = 5, b = 3

Graph

Beliebte Beispiele

y^{2} = 24 x

f oc i x^{2} = 12 y

scheitelpunkte f(x)=x^2+4x+5

v er t i ces f (x) = x^{2} + 4 x + 5

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

y^{2} = 4 a x