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Beliebt Geometry >

center x^2+9y^2-14x+36y+49=0

Lösung

center

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

Lösung

(7, - 2)

Schritte zur Lösung

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

Rewrite

x^{2} + 9 y^{2} - 14 x + 36 y + 49 = 0

in the form of the standard ellipse equation

\frac{( x - 7 ) ^{2}}{6 ^{2}} + \frac{( y - ( - 2 ) ) ^{2}}{2 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (7, - 2), a = 6, b = 2

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (7, - 2), a = 6, b = 2

And the center is:

(7, - 2)

Graph

Beliebte Beispiele

center ((x-1)^2)/(36)+((y-1)^2)/(25)=1

ce n t er \frac{( x - 1 ) ^{2}}{36} + \frac{( y - 1 ) ^{2}}{25} = 1

center x^2+4y^2+8y=0

ce n t er x^{2} + 4 y^{2} + 8 y = 0

center (x^2)/9+(y^2)/5 =1

ce n t er \frac{x ^{2}}{9} + \frac{y ^{2}}{5} = 1

center (x^2}{16}+\frac{y^2)/7 =1

ce n t er \frac{x ^{2}}{16} + \frac{y ^{2}}{7} = 1

center 9x^2+4y^2+54x-8y+49=0

ce n t er 9 x^{2} + 4 y^{2} + 54 x - 8 y + 49 = 0