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Beliebt Geometry >

(x^2+10x)+(4y^2+9y)=7

Lösung

(x^{2} + 10 x) + (4 y^{2} + 9 y) = 7

Lösung

(h, k) = (- 5, - \frac{9}{8}), a = \frac{593}{4}, b = \frac{593}{8}

Schritte zur Lösung

x^{2} + 10 x + (4 y^{2} + 9 y) = 7

Rewrite

x^{2} + 10 x + (4 y^{2} + 9 y) = 7

in the form of the standard ellipse equation

\frac{( x - ( - 5 ) ) ^{2}}{( \frac{593}{4} ) ^{2}} + \frac{( y - ( - \frac{9}{8} ) ) ^{2}}{( \frac{593}{8} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (- 5, - \frac{9}{8}), a = \frac{593}{4}, b = \frac{593}{8}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 5, - \frac{9}{8}), a = \frac{593}{4}, b = \frac{593}{8}

Graph

Beliebte Beispiele

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