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Beliebt Geometry >

49x^2+25y^2=1225

Lösung

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

Lösung

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

Schritte zur Lösung

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

Rewrite

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

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

4(x-1)^2+25(y-3)^2=1

4 (x - 1)^{2} + 25 (y - 3)^{2} = 1

(4/(sqrt(9-x^2-y^2)))^2=16

(\frac{4}{9 - x ^{2} - y ^{2}})^{2} = 16

(x^2}{16}+\frac{(y-2)^2)/9 =1

\frac{x ^{2}}{16} + \frac{( y - 2 ) ^{2}}{9} = 1

(x^2)/(a^2)+(y^2)/((a-16))=1

\frac{x ^{2}}{a ^{2}} + \frac{y ^{2}}{( a - 16 )} = 1

11x^2+13y^2-143=0

11 x^{2} + 13 y^{2} - 143 = 0