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Beliebt Geometry >

(4x^2)+(y^2)-8x-4y-28=0

Lösung

(4 x^{2}) + (y^{2}) - 8 x - 4 y - 28 = 0

Lösung

(h, k) = (1, 2), a = 3, b = 6

Schritte zur Lösung

4 x^{2} + y^{2} - 8 x - 4 y - 28 = 0

Rewrite

4 x^{2} + y^{2} - 8 x - 4 y - 28 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 2), a = 3, b = 6

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, 2), b = 6, a = 3

Graph

Beliebte Beispiele

112x^2+144y^2-896x+864y=-2080

112 x^{2} + 144 y^{2} - 896 x + 864 y = - 2080

9 = 4 x^{2} + z^{2}

(x^2)/4+(y^2)/6 =1

\frac{x ^{2}}{4} + \frac{y ^{2}}{6} = 1

9x^2+16y^2-54x-64y+1=0

9 x^{2} + 16 y^{2} - 54 x - 64 y + 1 = 0

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

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