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Beliebt Geometry >

5(x+1)^2+3y^2=15

Lösung

5 (x + 1)^{2} + 3 y^{2} = 15

Lösung

(h, k) = (- 1, 0), a = 3, b = 5

Schritte zur Lösung

5 (x + 1)^{2} + 3 y^{2} = 15

Rewrite

5 (x + 1)^{2} + 3 y^{2} = 15

in the form of the standard ellipse equation

\frac{( x - ( - 1 ) ) ^{2}}{( 3 ) ^{2}} + \frac{( y - 0 ) ^{2}}{( 5 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 1, 0), a = 3, b = 5

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 1, 0), b = 5, a = 3

Graph

Beliebte Beispiele

4y^{(2)}+2x^{(2)}+48y+4x-22=0

4 y^{(2)} + 2 x^{(2)} + 48 y + 4 x - 22 = 0

4x^2+y^2-24x-8y+8=0

4 x^{2} + y^{2} - 24 x - 8 y + 8 = 0

1 = x^{2} + 3 y^{2}

4x^2+y^2-24x+2y+21=0

4 x^{2} + y^{2} - 24 x + 2 y + 21 = 0

9x^2+4y^2+18x-40y+73=0

9 x^{2} + 4 y^{2} + 18 x - 40 y + 73 = 0