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Beliebt Geometry >

4x^2+3y^2-32x-18y+43=0

Lösung

4 x^{2} + 3 y^{2} - 32 x - 18 y + 43 = 0

Lösung

(h, k) = (4, 3), a = 23, b = 4

Schritte zur Lösung

4 x^{2} + 3 y^{2} - 32 x - 18 y + 43 = 0

Rewrite

4 x^{2} + 3 y^{2} - 32 x - 18 y + 43 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (4, 3), a = 23, b = 4

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (4, 3), b = 4, a = 23

Graph

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