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Beliebt Geometry >

center 5x^2+9y^2-10x+4=0

Lösung

center

5 x^{2} + 9 y^{2} - 10 x + 4 = 0

Lösung

(1, 0)

Schritte zur Lösung

5 x^{2} + 9 y^{2} - 10 x + 4 = 0

Rewrite

5 x^{2} + 9 y^{2} - 10 x + 4 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{1}{5} ) ^{2}} + \frac{( y - 0 ) ^{2}}{( \frac{1}{3} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, 0), a = \frac{1}{5}, b = \frac{1}{3}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, 0), a = \frac{1}{5}, b = \frac{1}{3}

And the center is:

(1, 0)

Graph

Beliebte Beispiele

center 3x^2+4y^2=12

ce n t er 3 x^{2} + 4 y^{2} = 12

center 25(x-2)^2+9(y+3)^2=225

ce n t er 25 (x - 2)^{2} + 9 (y + 3)^{2} = 225

center ((x+5)^2)/5+((y+3)^2)/3 =1

ce n t er \frac{( x + 5 ) ^{2}}{5} + \frac{( y + 3 ) ^{2}}{3} = 1

center (x^2)/(36)+(y^2)/(121)=1

ce n t er \frac{x ^{2}}{36} + \frac{y ^{2}}{121} = 1

center 9x^2+18x+4y^2-24y+9=0

ce n t er 9 x^{2} + 18 x + 4 y^{2} - 24 y + 9 = 0