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Beliebt Geometry >

4x^2+y^2-16x-2y+1=0

Lösung

4 x^{2} + y^{2} - 16 x - 2 y + 1 = 0

Lösung

(h, k) = (2, 1), a = 2, b = 4

Schritte zur Lösung

4 x^{2} + y^{2} - 16 x - 2 y + 1 = 0

Rewrite

4 x^{2} + y^{2} - 16 x - 2 y + 1 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (2, 1), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (2, 1), b = 4, a = 2

Graph

Beliebte Beispiele

5 x^{2} + z^{2} = 100

(25x^2)/(400-12^2)+(16y^2)/(400-12^2)=1

\frac{25 x ^{2}}{400 - 1 2 ^{2}} + \frac{16 y ^{2}}{400 - 1 2 ^{2}} = 1

((x-2.1)^2)/(2.25)+((y+1.6)^2)/(6.16)=1

\frac{( x - 2.1 ) ^{2}}{2.25} + \frac{( y + 1.6 ) ^{2}}{6.16} = 1

x^2-2x+3y^2-2y-5=0

x^{2} - 2 x + 3 y^{2} - 2 y - 5 = 0

2 y - x^{2} - y^{2} \geq 0