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Beliebt Geometry >

9x^2+25y^2-18x-100y-116=0

Lösung

9 x^{2} + 25 y^{2} - 18 x - 100 y - 116 = 0

Lösung

(h, k) = (1, 2), a = 5, b = 3

Schritte zur Lösung

9 x^{2} + 25 y^{2} - 18 x - 100 y - 116 = 0

Rewrite

9 x^{2} + 25 y^{2} - 18 x - 100 y - 116 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (1, 2), a = 5, b = 3

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 2), a = 5, b = 3

Graph

Beliebte Beispiele

(x^2)/8+(y^2)/5 =1

\frac{x ^{2}}{8} + \frac{y ^{2}}{5} = 1

9x^2+4y^2-36x+40y+100=0

9 x^{2} + 4 y^{2} - 36 x + 40 y + 100 = 0

x^2-8x+25y^2-100y+91=0

x^{2} - 8 x + 25 y^{2} - 100 y + 91 = 0

4 x^{2} + 3 y^{2} = 120

5x^2+9y^2-20x+54y+56=0

5 x^{2} + 9 y^{2} - 20 x + 54 y + 56 = 0