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Beliebt Geometry >

X^2+4Y^2-6X-16Y+21=0

Lösung

X^{2} + 4 Y^{2} - 6 X - 16 Y + 21 = 0

Lösung

(h, k) = (3, 2), a = 2, b = 1

Schritte zur Lösung

X^{2} + 4 Y^{2} - 6 X - 16 Y + 21 = 0

Rewrite

X^{2} + 4 Y^{2} - 6 X - 16 Y + 21 = 0

in the form of the standard ellipse equation

\frac{( X - 3 ) ^{2}}{2 ^{2}} + \frac{( Y - 2 ) ^{2}}{1 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 2), a = 2, b = 1

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 2), a = 2, b = 1

Graph

Beliebte Beispiele

(5p+3q)2=25p^2+9q^2

(5 p + 3 q) 2 = 25 p^{2} + 9 q^{2}

25x^2+9y^2+100x+36y-89=0

25 x^{2} + 9 y^{2} + 100 x + 36 y - 89 = 0

(x^2)/4+(1-y/2)^2=1

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

12x^2+10y^2=120

12 x^{2} + 10 y^{2} = 120

25x^2+9y^2-50x+54y-119=0

25 x^{2} + 9 y^{2} - 50 x + 54 y - 119 = 0