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Beliebt Geometry >

5x^2+6y^2-30x-24y+39=0

Lösung

5 x^{2} + 6 y^{2} - 30 x - 24 y + 39 = 0

Lösung

(h, k) = (3, 2), a = 6, b = 5

Schritte zur Lösung

5 x^{2} + 6 y^{2} - 30 x - 24 y + 39 = 0

Rewrite

5 x^{2} + 6 y^{2} - 30 x - 24 y + 39 = 0

in the form of the standard ellipse equation

\frac{( x - 3 ) ^{2}}{( 6 ) ^{2}} + \frac{( y - 2 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (3, 2), a = 6, b = 5

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (3, 2), a = 6, b = 5

Graph

Beliebte Beispiele

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

\frac{( x ^{2} )}{( 16 )} + \frac{( y ^{2} )}{( 12 )} = 1

((x-3)^2)/(16)+((y-7)^2)/(64)=1

\frac{( x - 3 ) ^{2}}{16} + \frac{( y - 7 ) ^{2}}{64} = 1

2x^2+3y^2+4x=19

2 x^{2} + 3 y^{2} + 4 x = 19

x^2+6x+(5y+6)^2-2(5y+6)+10=4

x^{2} + 6 x + (5 y + 6)^{2} - 2 (5 y + 6) + 10 = 4

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

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