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Beliebt Geometry >

25x^2-100x+36y^2-72y=-36

Lösung

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

Lösung

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

Schritte zur Lösung

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

Rewrite

25 x^{2} - 100 x + 36 y^{2} - 72 y = - 36

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

x^{2} + y^{2} \leq y

25x^2+9y^2-150x-18y+9=0

25 x^{2} + 9 y^{2} - 150 x - 18 y + 9 = 0

25y^2+4x^2-250y-16x+541=0

25 y^{2} + 4 x^{2} - 250 y - 16 x + 541 = 0

2x^2-8x+y^2-10y=60

2 x^{2} - 8 x + y^{2} - 10 y = 60

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