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Beliebt Geometry >

49x^2+25y^2-1225=0

Lösung

49 x^{2} + 25 y^{2} - 1225 = 0

Lösung

(h, k) = (0, 0), a = 5, b = 7

Schritte zur Lösung

49 x^{2} + 25 y^{2} - 1225 = 0

Rewrite

49 x^{2} + 25 y^{2} - 1225 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{5 ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 5, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 7, a = 5

Graph

Beliebte Beispiele

15x^2+12y^2+30x-24y=150

15 x^{2} + 12 y^{2} + 30 x - 24 y = 150

2x^2+5y^2-4x+y-6=0

2 x^{2} + 5 y^{2} - 4 x + y - 6 = 0

((x-2.63)^2)/(1.34)+(y^2)/(3.22)-1=1

\frac{( x - 2.63 ) ^{2}}{1.34} + \frac{y ^{2}}{3.22} - 1 = 1

4x^2+y^2-32x-80=0

4 x^{2} + y^{2} - 32 x - 80 = 0

2 x^{2} + x + y^{2} - 6 = 0