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Beliebt Geometry >

10x^2+40x+7y^2+70y+145=0

Lösung

10 x^{2} + 40 x + 7 y^{2} + 70 y + 145 = 0

Lösung

(h, k) = (- 2, - 5), a = 7, b = 10

Schritte zur Lösung

10 x^{2} + 40 x + 7 y^{2} + 70 y + 145 = 0

Rewrite

10 x^{2} + 40 x + 7 y^{2} + 70 y + 145 = 0

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( 7 ) ^{2}} + \frac{( y - ( - 5 ) ) ^{2}}{( 10 ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, - 5), a = 7, b = 10

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (- 2, - 5), b = 10, a = 7

Graph

Beliebte Beispiele

6 = x^{2} + 9 y^{2}

(3x-3)^2+(-2y-4)^2=43+9+16

(3 x - 3)^{2} + (- 2 y - 4)^{2} = 43 + 9 + 16

36 x^{2} + 81 y^{2} = 49

49x^2+16y^2-784=0

49 x^{2} + 16 y^{2} - 784 = 0

9x^2+4y^2-54x-16y+61=0

9 x^{2} + 4 y^{2} - 54 x - 16 y + 61 = 0