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Beliebt Geometry >

4x^2-8x+y^2+6y=3

Lösung

4 x^{2} - 8 x + y^{2} + 6 y = 3

Lösung

(h, k) = (1, - 3), a = 2, b = 4

Schritte zur Lösung

4 x^{2} - 8 x + y^{2} + 6 y = 3

Rewrite

4 x^{2} - 8 x + y^{2} + 6 y = 3

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{2 ^{2}} + \frac{( y - ( - 3 ) ) ^{2}}{4 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, - 3), a = 2, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (1, - 3), b = 4, a = 2

Graph

Beliebte Beispiele

(x+4)^2+((y-41)/2)^2= 421/4

(x + 4)^{2} + (\frac{y - 41}{2})^{2} = \frac{421}{4}

(x^2)/(4900)+(y^2)/(2500)=1

\frac{x ^{2}}{4900} + \frac{y ^{2}}{2500} = 1

x^2+y^2-21/8 x+19/4-525/8 =0

x^{2} + y^{2} - \frac{21}{8} x + \frac{19}{4} - \frac{525}{8} = 0

25x^2+16y^2+200x+64y+64=0

25 x^{2} + 16 y^{2} + 200 x + 64 y + 64 = 0

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

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