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Beliebt Geometry >

3x^2+12x+4y^2-40y+100=0

Lösung

3 x^{2} + 12 x + 4 y^{2} - 40 y + 100 = 0

Lösung

(h, k) = (- 2, 5), a = 2, b = 3

Schritte zur Lösung

3 x^{2} + 12 x + 4 y^{2} - 40 y + 100 = 0

Rewrite

3 x^{2} + 12 x + 4 y^{2} - 40 y + 100 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 5), a = 2, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, 5), a = 2, b = 3

Graph

Beliebte Beispiele

(x+2)^2+(y-4)^2=25

(x + 2)^{2} + (y - 4)^{2} = 25

scheitelpunkte 9x^2-4y^2-72x=0

v er t i ces 9 x^{2} - 4 y^{2} - 72 x = 0

scheitelpunkte (x^2)/(36)-(y^2)/(64)=1

v er t i ces \frac{x ^{2}}{36} - \frac{y ^{2}}{64} = 1

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

2x^2+2y^2-12x+8y-24=0

2 x^{2} + 2 y^{2} - 12 x + 8 y - 24 = 0