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Beliebt Geometry >

4x^2+25y^2-40x+150y+225=0

Lösung

4 x^{2} + 25 y^{2} - 40 x + 150 y + 225 = 0

Lösung

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

Schritte zur Lösung

4 x^{2} + 25 y^{2} - 40 x + 150 y + 225 = 0

Rewrite

4 x^{2} + 25 y^{2} - 40 x + 150 y + 225 = 0

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

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

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

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

Graph

Beliebte Beispiele

36 x^{2} + y^{2} = 36

(x^2)/9+(y^2)/1 =1

\frac{x ^{2}}{9} + \frac{y ^{2}}{1} = 1

h(x)=6x^2-5x+7h(x)(2+h(x))

h (x) = 6 x^{2} - 5 x + 7 h (x) (2 + h (x))

0.8 x^{2} + y^{2} = 9

9x^2+36x+y^2+2y+36=0

9 x^{2} + 36 x + y^{2} + 2 y + 36 = 0