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Beliebt Geometry >

X^2+3Y^2-4X-23=0

Lösung

X^{2} + 3 Y^{2} - 4 X - 23 = 0

Lösung

(h, k) = (2, 0), a = 33, b = 3

Schritte zur Lösung

X^{2} + 3 Y^{2} - 4 X - 23 = 0

Rewrite

X^{2} + 3 Y^{2} - 4 X - 23 = 0

in the form of the standard ellipse equation

\frac{( X - 2 ) ^{2}}{( 3 3 ) ^{2}} + \frac{( Y - 0 ) ^{2}}{3 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (2, 0), a = 33, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (2, 0), a = 33, b = 3

Graph

Beliebte Beispiele

1/2 x^2+1/8 y^2= 1/4

\frac{1}{2} x^{2} + \frac{1}{8} y^{2} = \frac{1}{4}

16 x^{2} + y^{2} = 1

16x^2+4y^2-128x-16y+206=0

16 x^{2} + 4 y^{2} - 128 x - 16 y + 206 = 0

2 x^{2} + 6 y^{2} = 168

((x+4)^2}{0.25}+\frac{(y-8)^2)/1 =1

\frac{( x + 4 ) ^{2}}{0.25} + \frac{( y - 8 ) ^{2}}{1} = 1