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Beliebt Geometry >

2x^2+5y^2+8x-10y-27=0

Lösung

2 x^{2} + 5 y^{2} + 8 x - 10 y - 27 = 0

Lösung

(h, k) = (- 2, 1), a = 25, b = 22

Schritte zur Lösung

2 x^{2} + 5 y^{2} + 8 x - 10 y - 27 = 0

Rewrite

2 x^{2} + 5 y^{2} + 8 x - 10 y - 27 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (- 2, 1), a = 25, b = 22

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (- 2, 1), a = 25, b = 22

Graph

Beliebte Beispiele

((x-4)^2)/4+((y+2)^2)/(20)=1

\frac{( x - 4 ) ^{2}}{4} + \frac{( y + 2 ) ^{2}}{20} = 1

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((x+1)^2}{27/4}+\frac{(y-4)^2)/9 =1

\frac{( x + 1 ) ^{2}}{\frac{27}{4}} + \frac{( y - 4 ) ^{2}}{9} = 1

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