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Beliebt Geometry >

25(x^2+4x+4)+36(y^2+2y+1)=770

Lösung

25 (x^{2} + 4 x + 4) + 36 (y^{2} + 2 y + 1) = 770

Lösung

(h, k) = (- 2, - 1), a = \frac{154}{5}, b = \frac{385}{3 2}

Schritte zur Lösung

25 (x^{2} + 4 x + 4) + 36 (y^{2} + 2 y + 1) = 770

Rewrite

25 (x^{2} + 4 x + 4) + 36 (y^{2} + 2 y + 1) = 770

in the form of the standard ellipse equation

\frac{( x - ( - 2 ) ) ^{2}}{( \frac{154}{5} ) ^{2}} + \frac{( y - ( - 1 ) ) ^{2}}{( \frac{385}{3 2} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 2, - 1), a = \frac{154}{5}, b = \frac{385}{3 2}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, - 1), a = \frac{154}{5}, b = \frac{385}{3 2}

Graph

Beliebte Beispiele

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\frac{x ^{2}}{81} + \frac{y ^{2}}{144} = 1

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\frac{1 + y ^{2}}{1 - x ^{2}} = 2

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