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Beliebt Geometry >

9x^2+25y^2-18x-250y+409=0

Lösung

9 x^{2} + 25 y^{2} - 18 x - 250 y + 409 = 0

Lösung

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

Schritte zur Lösung

9 x^{2} + 25 y^{2} - 18 x - 250 y + 409 = 0

Rewrite

9 x^{2} + 25 y^{2} - 18 x - 250 y + 409 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

x^2+4y^2-2x-16y=0

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

a - bi = \frac{1}{a + bi}

16 x^{2} + 7 y^{2} = 112

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

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

y^{2} = - 0.25 x^{2} + 1