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Beliebt Geometry >

x^2-4x+3y^2=-2

Lösung

x^{2} - 4 x + 3 y^{2} = - 2

Lösung

(h, k) = (2, 0), a = 2, b = \frac{2}{3}

Schritte zur Lösung

x^{2} - 4 x + 3 y^{2} = - 2

Rewrite

x^{2} - 4 x + 3 y^{2} = - 2

in the form of the standard ellipse equation

\frac{( x - 2 ) ^{2}}{( 2 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{2}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 0), a = 2, b = \frac{2}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 0), a = 2, b = \frac{2}{3}

Graph

Beliebte Beispiele

(x^2)/9+(y^2)/4-1>0

\frac{x ^{2}}{9} + \frac{y ^{2}}{4} - 1 > 0

(x^2}{20}+\frac{y^2)/2 =1

\frac{x ^{2}}{20} + \frac{y ^{2}}{2} = 1

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

9y^2=25(3-x)(3+x)

9 y^{2} = 25 (3 - x) (3 + x)

16(x-1)^2+25(y-4)^2=400

16 (x - 1)^{2} + 25 (y - 4)^{2} = 400