de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Geometry >

3x^2+5y^2-6x+2y-9=0

Lösung

3 x^{2} + 5 y^{2} - 6 x + 2 y - 9 = 0

Lösung

(h, k) = (1, - \frac{1}{5}), a = \frac{61}{15}, b = \frac{61}{5}

Schritte zur Lösung

3 x^{2} + 5 y^{2} - 6 x + 2 y - 9 = 0

Rewrite

3 x^{2} + 5 y^{2} - 6 x + 2 y - 9 = 0

in the form of the standard ellipse equation

\frac{( x - 1 ) ^{2}}{( \frac{61}{15} ) ^{2}} + \frac{( y - ( - \frac{1}{5} ) ) ^{2}}{( \frac{61}{5} ) ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (1, - \frac{1}{5}), a = \frac{61}{15}, b = \frac{61}{5}

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (1, - \frac{1}{5}), a = \frac{61}{15}, b = \frac{61}{5}

Graph

Beliebte Beispiele

9x^2+25y^2+18x-100y-116=0

9 x^{2} + 25 y^{2} + 18 x - 100 y - 116 = 0

9x^2+25y^2-36x+50y-164=0

9 x^{2} + 25 y^{2} - 36 x + 50 y - 164 = 0

2x^2+y^2+2x-3y-2=0

2 x^{2} + y^{2} + 2 x - 3 y - 2 = 0

4x^2+9y^2-8x-36+4=0

4 x^{2} + 9 y^{2} - 8 x - 36 + 4 = 0

2 x^{2} + 7 y^{2} - 14 = 0